7(y+2)=5y+32

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Solution for 7(y+2)=5y+32 equation: 


Simplifying
7(y + 2) = 5y + 32

Reorder the terms:
7(2 + y) = 5y + 32
(2 * 7 + y * 7) = 5y + 32
(14 + 7y) = 5y + 32

Reorder the terms:
14 + 7y = 32 + 5y

Solving
14 + 7y = 32 + 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.
14 + 7y + -5y = 32 + 5y + -5y

Combine like terms: 7y + -5y = 2y
14 + 2y = 32 + 5y + -5y

Combine like terms: 5y + -5y = 0
14 + 2y = 32 + 0
14 + 2y = 32

Add '-14' to each side of the equation.
14 + -14 + 2y = 32 + -14

Combine like terms: 14 + -14 = 0
0 + 2y = 32 + -14
2y = 32 + -14

Combine like terms: 32 + -14 = 18
2y = 18

Divide each side by '2'.
y = 9

Simplifying
y = 9

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