12y+8=7y-17

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Solution for 12y+8=7y-17 equation:


Simplifying
12y + 8 = 7y + -17

Reorder the terms:
8 + 12y = 7y + -17

Reorder the terms:
8 + 12y = -17 + 7y

Solving
8 + 12y = -17 + 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.
8 + 12y + -7y = -17 + 7y + -7y

Combine like terms: 12y + -7y = 5y
8 + 5y = -17 + 7y + -7y

Combine like terms: 7y + -7y = 0
8 + 5y = -17 + 0
8 + 5y = -17

Add '-8' to each side of the equation.
8 + -8 + 5y = -17 + -8

Combine like terms: 8 + -8 = 0
0 + 5y = -17 + -8
5y = -17 + -8

Combine like terms: -17 + -8 = -25
5y = -25

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

Simplifying
y = -5

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