-8y+12=7(y+6)

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Solution for -8y+12=7(y+6) equation: 


Simplifying
-8y + 12 = 7(y + 6)

Reorder the terms:
12 + -8y = 7(y + 6)

Reorder the terms:
12 + -8y = 7(6 + y)
12 + -8y = (6 * 7 + y * 7)
12 + -8y = (42 + 7y)

Solving
12 + -8y = 42 + 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.
12 + -8y + -7y = 42 + 7y + -7y

Combine like terms: -8y + -7y = -15y
12 + -15y = 42 + 7y + -7y

Combine like terms: 7y + -7y = 0
12 + -15y = 42 + 0
12 + -15y = 42

Add '-12' to each side of the equation.
12 + -12 + -15y = 42 + -12

Combine like terms: 12 + -12 = 0
0 + -15y = 42 + -12
-15y = 42 + -12

Combine like terms: 42 + -12 = 30
-15y = 30

Divide each side by '-15'.
y = -2

Simplifying
y = -2

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