4(y-7)=2y-32

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Solution for 4(y-7)=2y-32 equation: 


Simplifying
4(y + -7) = 2y + -32

Reorder the terms:
4(-7 + y) = 2y + -32
(-7 * 4 + y * 4) = 2y + -32
(-28 + 4y) = 2y + -32

Reorder the terms:
-28 + 4y = -32 + 2y

Solving
-28 + 4y = -32 + 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.
-28 + 4y + -2y = -32 + 2y + -2y

Combine like terms: 4y + -2y = 2y
-28 + 2y = -32 + 2y + -2y

Combine like terms: 2y + -2y = 0
-28 + 2y = -32 + 0
-28 + 2y = -32

Add '28' to each side of the equation.
-28 + 28 + 2y = -32 + 28

Combine like terms: -28 + 28 = 0
0 + 2y = -32 + 28
2y = -32 + 28

Combine like terms: -32 + 28 = -4
2y = -4

Divide each side by '2'.
y = -2

Simplifying
y = -2

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