-4(y+8)=5y+40

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Solution for -4(y+8)=5y+40 equation: 


Simplifying
-4(y + 8) = 5y + 40

Reorder the terms:
-4(8 + y) = 5y + 40
(8 * -4 + y * -4) = 5y + 40
(-32 + -4y) = 5y + 40

Reorder the terms:
-32 + -4y = 40 + 5y

Solving
-32 + -4y = 40 + 5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-5y' to each side of the equation.
-32 + -4y + -5y = 40 + 5y + -5y

Combine like terms: -4y + -5y = -9y
-32 + -9y = 40 + 5y + -5y

Combine like terms: 5y + -5y = 0
-32 + -9y = 40 + 0
-32 + -9y = 40

Add '32' to each side of the equation.
-32 + 32 + -9y = 40 + 32

Combine like terms: -32 + 32 = 0
0 + -9y = 40 + 32
-9y = 40 + 32

Combine like terms: 40 + 32 = 72
-9y = 72

Divide each side by '-9'.
y = -8

Simplifying
y = -8

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