7y+8=8y+12

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Solution for 7y+8=8y+12 equation:


Simplifying
7y + 8 = 8y + 12

Reorder the terms:
8 + 7y = 8y + 12

Reorder the terms:
8 + 7y = 12 + 8y

Solving
8 + 7y = 12 + 8y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-8y' to each side of the equation.
8 + 7y + -8y = 12 + 8y + -8y

Combine like terms: 7y + -8y = -1y
8 + -1y = 12 + 8y + -8y

Combine like terms: 8y + -8y = 0
8 + -1y = 12 + 0
8 + -1y = 12

Add '-8' to each side of the equation.
8 + -8 + -1y = 12 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = 12 + -8
-1y = 12 + -8

Combine like terms: 12 + -8 = 4
-1y = 4

Divide each side by '-1'.
y = -4

Simplifying
y = -4

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