2(y-7)=5y-32

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


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

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

Reorder the terms:
-14 + 2y = -32 + 5y

Solving
-14 + 2y = -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 + 2y + -5y = -32 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-14 + -3y = -32 + 5y + -5y

Combine like terms: 5y + -5y = 0
-14 + -3y = -32 + 0
-14 + -3y = -32

Add '14' to each side of the equation.
-14 + 14 + -3y = -32 + 14

Combine like terms: -14 + 14 = 0
0 + -3y = -32 + 14
-3y = -32 + 14

Combine like terms: -32 + 14 = -18
-3y = -18

Divide each side by '-3'.
y = 6

Simplifying
y = 6

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