Solve for y -(2y-4)-(2y-6)+4=-6(y-1)-(2y+7)+3

$- (2 y - 4) - (2 y - 6) + 4 = - 6 (y - 1) - (2 y + 7) + 3$

Simplify $- (2 y - 4) - (2 y - 6) + 4$ .

Tap for more steps…

Simplify each term.

Tap for more steps…

Apply the distributive property.

$- (2 y) - - 4 - (2 y - 6) + 4 = - 6 (y - 1) - (2 y + 7) + 3$

Multiply $2$ by $- 1$ .

$- 2 y - - 4 - (2 y - 6) + 4 = - 6 (y - 1) - (2 y + 7) + 3$

Multiply $- 1$ by $- 4$ .

$- 2 y + 4 - (2 y - 6) + 4 = - 6 (y - 1) - (2 y + 7) + 3$

Apply the distributive property.

$- 2 y + 4 - (2 y) - - 6 + 4 = - 6 (y - 1) - (2 y + 7) + 3$

Multiply $2$ by $- 1$ .

$- 2 y + 4 - 2 y - - 6 + 4 = - 6 (y - 1) - (2 y + 7) + 3$

Multiply $- 1$ by $- 6$ .

$- 2 y + 4 - 2 y + 6 + 4 = - 6 (y - 1) - (2 y + 7) + 3$

Simplify by adding terms.

Tap for more steps…

Subtract $2 y$ from $- 2 y$ .

$- 4 y + 4 + 6 + 4 = - 6 (y - 1) - (2 y + 7) + 3$

Simplify by adding numbers.

Tap for more steps…

Add $4$ and $6$ .

$- 4 y + 10 + 4 = - 6 (y - 1) - (2 y + 7) + 3$

Add $10$ and $4$ .

$- 4 y + 14 = - 6 (y - 1) - (2 y + 7) + 3$

Simplify $- 6 (y - 1) - (2 y + 7) + 3$ .

Tap for more steps…

Simplify each term.

Tap for more steps…

Apply the distributive property.

$- 4 y + 14 = - 6 y - 6 \cdot - 1 - (2 y + 7) + 3$

Multiply $- 6$ by $- 1$ .

$- 4 y + 14 = - 6 y + 6 - (2 y + 7) + 3$

Apply the distributive property.

$- 4 y + 14 = - 6 y + 6 - (2 y) - 1 \cdot 7 + 3$

Multiply $2$ by $- 1$ .

$- 4 y + 14 = - 6 y + 6 - 2 y - 1 \cdot 7 + 3$

Multiply $- 1$ by $7$ .

$- 4 y + 14 = - 6 y + 6 - 2 y - 7 + 3$

Simplify by adding terms.

Tap for more steps…

Subtract $2 y$ from $- 6 y$ .

$- 4 y + 14 = - 8 y + 6 - 7 + 3$

Simplify by adding and subtracting.

Tap for more steps…

Subtract $7$ from $6$ .

$- 4 y + 14 = - 8 y - 1 + 3$

Add $- 1$ and $3$ .

$- 4 y + 14 = - 8 y + 2$

Move all terms containing $y$ to the left side of the equation.

Tap for more steps…

Add $8 y$ to both sides of the equation.

$- 4 y + 14 + 8 y = 2$

Add $- 4 y$ and $8 y$ .

$4 y + 14 = 2$

Move all terms not containing $y$ to the right side of the equation.

Tap for more steps…

Subtract $14$ from both sides of the equation.

$4 y = 2 - 14$

Subtract $14$ from $2$ .

$4 y = - 12$

Divide each term by $4$ and simplify.

Tap for more steps…

Divide each term in $4 y = - 12$ by $4$ .

$\frac{4 y}{4} = \frac{- 12}{4}$

Cancel the common factor of $4$ .

Tap for more steps…

Cancel the common factor.

$\frac{4 y}{4} = \frac{- 12}{4}$

Divide $y$ by $1$ .

$y = \frac{- 12}{4}$

Divide $- 12$ by $4$ .

$y = - 3$

Solve for y -(2y-4)-(2y-6)+4=-6(y-1)-(2y+7)+3

Meet the Team our Math Expers

Our Professionals

Robert Kristofer

Anna Frok

Magnus Flores

Lydia Fran

We are MathExperts

We can solve all your math problems