Solve for y -y+5=11+5z-3

-y+5=11+5z-3

Subtract 3 from 11.

-y+5=5z+8

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

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Subtract 5 from both sides of the equation.

-y=5z+8-5

Subtract 5 from 8.

-y=5z+3

Multiply each term in -y=5z+3 by -1

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Multiply each term in -y=5z+3 by -1.

(-y)⋅-1=5z⋅-1+3⋅-1

Multiply (-y)⋅-1.

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Multiply -1 by -1.

1y=5z⋅-1+3⋅-1

Multiply y by 1.

y=5z⋅-1+3⋅-1

Simplify each term.

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Multiply -1 by 5.

y=-5z+3⋅-1

Multiply 3 by -1.

y=-5z-3

Solve for y -y+5=11+5z-3

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