2(2y+16)=7y-7

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Solution for 2(2y+16)=7y-7 equation: 


Simplifying
2(2y + 16) = 7y + -7

Reorder the terms:
2(16 + 2y) = 7y + -7
(16 * 2 + 2y * 2) = 7y + -7
(32 + 4y) = 7y + -7

Reorder the terms:
32 + 4y = -7 + 7y

Solving
32 + 4y = -7 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
32 + 4y + -7y = -7 + 7y + -7y

Combine like terms: 4y + -7y = -3y
32 + -3y = -7 + 7y + -7y

Combine like terms: 7y + -7y = 0
32 + -3y = -7 + 0
32 + -3y = -7

Add '-32' to each side of the equation.
32 + -32 + -3y = -7 + -32

Combine like terms: 32 + -32 = 0
0 + -3y = -7 + -32
-3y = -7 + -32

Combine like terms: -7 + -32 = -39
-3y = -39

Divide each side by '-3'.
y = 13

Simplifying
y = 13

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