7(y-4)=2y+12

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Solution for 7(y-4)=2y+12 equation: 


Simplifying
7(y + -4) = 2y + 12

Reorder the terms:
7(-4 + y) = 2y + 12
(-4 * 7 + y * 7) = 2y + 12
(-28 + 7y) = 2y + 12

Reorder the terms:
-28 + 7y = 12 + 2y

Solving
-28 + 7y = 12 + 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 + 7y + -2y = 12 + 2y + -2y

Combine like terms: 7y + -2y = 5y
-28 + 5y = 12 + 2y + -2y

Combine like terms: 2y + -2y = 0
-28 + 5y = 12 + 0
-28 + 5y = 12

Add '28' to each side of the equation.
-28 + 28 + 5y = 12 + 28

Combine like terms: -28 + 28 = 0
0 + 5y = 12 + 28
5y = 12 + 28

Combine like terms: 12 + 28 = 40
5y = 40

Divide each side by '5'.
y = 8

Simplifying
y = 8

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