7y+8=12y-22

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Solution for 7y+8=12y-22 equation:


Simplifying
7y + 8 = 12y + -22

Reorder the terms:
8 + 7y = 12y + -22

Reorder the terms:
8 + 7y = -22 + 12y

Solving
8 + 7y = -22 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
8 + 7y + -12y = -22 + 12y + -12y

Combine like terms: 7y + -12y = -5y
8 + -5y = -22 + 12y + -12y

Combine like terms: 12y + -12y = 0
8 + -5y = -22 + 0
8 + -5y = -22

Add '-8' to each side of the equation.
8 + -8 + -5y = -22 + -8

Combine like terms: 8 + -8 = 0
0 + -5y = -22 + -8
-5y = -22 + -8

Combine like terms: -22 + -8 = -30
-5y = -30

Divide each side by '-5'.
y = 6

Simplifying
y = 6

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