7y-12=5(y-7)

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Solution for 7y-12=5(y-7) equation:


Simplifying
7y + -12 = 5(y + -7)

Reorder the terms:
-12 + 7y = 5(y + -7)

Reorder the terms:
-12 + 7y = 5(-7 + y)
-12 + 7y = (-7 * 5 + y * 5)
-12 + 7y = (-35 + 5y)

Solving
-12 + 7y = -35 + 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.
-12 + 7y + -5y = -35 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-12 + 2y = -35 + 5y + -5y

Combine like terms: 5y + -5y = 0
-12 + 2y = -35 + 0
-12 + 2y = -35

Add '12' to each side of the equation.
-12 + 12 + 2y = -35 + 12

Combine like terms: -12 + 12 = 0
0 + 2y = -35 + 12
2y = -35 + 12

Combine like terms: -35 + 12 = -23
2y = -23

Divide each side by '2'.
y = -11.5

Simplifying
y = -11.5

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