Solve for y -500*0.5+4/5*(y(1))-3/5*(y(2))=0

$- 500 \cdot 0.5 + \frac{4}{5} \cdot (y (1)) - \frac{3}{5} \cdot (y (2)) = 0$

Simplify $- 500 \cdot 0.5 + \frac{4}{5} \cdot (y (1)) - \frac{3}{5} \cdot (y (2))$ .

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Simplify each term.

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Multiply $- 500$ by $0.5$ .

$- 250 + \frac{4}{5} \cdot (y (1)) - \frac{3}{5} \cdot (y (2)) = 0$

Multiply $y$ by $1$ .

$- 250 + \frac{4}{5} \cdot y - \frac{3}{5} \cdot (y (2)) = 0$

Combine $\frac{4}{5}$ and $y$ .

$- 250 + \frac{4 y}{5} - \frac{3}{5} \cdot (y (2)) = 0$

Move $2$ to the left of $y$ .

$- 250 + \frac{4 y}{5} - \frac{3}{5} \cdot (2 \cdot y) = 0$

Multiply $- \frac{3}{5} (2 y)$ .

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Multiply $2$ by $- 1$ .

$- 250 + \frac{4 y}{5} - 2 (\frac{3}{5}) y = 0$

Combine $- 2$ and $\frac{3}{5}$ .

$- 250 + \frac{4 y}{5} + \frac{- 2 \cdot 3}{5} y = 0$

Multiply $- 2$ by $3$ .

$- 250 + \frac{4 y}{5} + \frac{- 6}{5} y = 0$

Combine $\frac{- 6}{5}$ and $y$ .

$- 250 + \frac{4 y}{5} + \frac{- 6 y}{5} = 0$

Move the negative in front of the fraction.

$- 250 + \frac{4 y}{5} - \frac{6 y}{5} = 0$

Simplify terms.

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Combine fractions with similar denominators.

$- 250 + \frac{4 y - 6 y}{5} = 0$

Subtract $6 y$ from $4 y$ .

$- 250 + \frac{- 2 y}{5} = 0$

Move the negative in front of the fraction.

$- 250 - \frac{2 y}{5} = 0$

Add $250$ to both sides of the equation.

$- \frac{2 y}{5} = 250$

Multiply both sides of the equation by $- \frac{5}{2}$ .

$- \frac{5}{2} \cdot (- \frac{2 y}{5}) = - \frac{5}{2} \cdot 250$

Simplify both sides of the equation.

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Simplify $- \frac{5}{2} \cdot (- \frac{2 y}{5})$ .

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Cancel the common factor of $5$ .

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Move the leading negative in $- \frac{5}{2}$ into the numerator.

$\frac{- 5}{2} \cdot (- \frac{2 y}{5}) = - \frac{5}{2} \cdot 250$

Move the leading negative in $- \frac{2 y}{5}$ into the numerator.

$\frac{- 5}{2} \cdot \frac{- 2 y}{5} = - \frac{5}{2} \cdot 250$

Factor $5$ out of $- 5$ .

$\frac{5 (- 1)}{2} \cdot \frac{- 2 y}{5} = - \frac{5}{2} \cdot 250$

Cancel the common factor.

$\frac{5 \cdot - 1}{2} \cdot \frac{- 2 y}{5} = - \frac{5}{2} \cdot 250$

Rewrite the expression.

$\frac{- 1}{2} \cdot (- 2 y) = - \frac{5}{2} \cdot 250$

Cancel the common factor of $2$ .

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Factor $2$ out of $- 2 y$ .

$\frac{- 1}{2} \cdot (2 (- y)) = - \frac{5}{2} \cdot 250$

Cancel the common factor.

$\frac{- 1}{2} \cdot (2 (- y)) = - \frac{5}{2} \cdot 250$

Rewrite the expression.

$- 1 \cdot (- y) = - \frac{5}{2} \cdot 250$

Multiply.

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Multiply $- 1$ by $- 1$ .

$1 \cdot y = - \frac{5}{2} \cdot 250$

Multiply $y$ by $1$ .

$y = - \frac{5}{2} \cdot 250$

Simplify $- \frac{5}{2} \cdot 250$ .

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Cancel the common factor of $2$ .

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Move the leading negative in $- \frac{5}{2}$ into the numerator.

$y = \frac{- 5}{2} \cdot 250$

Factor $2$ out of $250$ .

$y = \frac{- 5}{2} \cdot (2 (125))$

Cancel the common factor.

$y = \frac{- 5}{2} \cdot (2 \cdot 125)$

Rewrite the expression.

$y = - 5 \cdot 125$

Multiply $- 5$ by $125$ .

$y = - 625$

Solve for y -500*0.5+4/5*(y(1))-3/5*(y(2))=0

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