32=5(y+8)-7y

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Solution for 32=5(y+8)-7y equation: 


Simplifying
32 = 5(y + 8) + -7y

Reorder the terms:
32 = 5(8 + y) + -7y
32 = (8 * 5 + y * 5) + -7y
32 = (40 + 5y) + -7y

Combine like terms: 5y + -7y = -2y
32 = 40 + -2y

Solving
32 = 40 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
32 + 2y = 40 + -2y + 2y

Combine like terms: -2y + 2y = 0
32 + 2y = 40 + 0
32 + 2y = 40

Add '-32' to each side of the equation.
32 + -32 + 2y = 40 + -32

Combine like terms: 32 + -32 = 0
0 + 2y = 40 + -32
2y = 40 + -32

Combine like terms: 40 + -32 = 8
2y = 8

Divide each side by '2'.
y = 4

Simplifying
y = 4

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