3y+7=12y-8

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Solution for 3y+7=12y-8 equation:


Simplifying
3y + 7 = 12y + -8

Reorder the terms:
7 + 3y = 12y + -8

Reorder the terms:
7 + 3y = -8 + 12y

Solving
7 + 3y = -8 + 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.
7 + 3y + -12y = -8 + 12y + -12y

Combine like terms: 3y + -12y = -9y
7 + -9y = -8 + 12y + -12y

Combine like terms: 12y + -12y = 0
7 + -9y = -8 + 0
7 + -9y = -8

Add '-7' to each side of the equation.
7 + -7 + -9y = -8 + -7

Combine like terms: 7 + -7 = 0
0 + -9y = -8 + -7
-9y = -8 + -7

Combine like terms: -8 + -7 = -15
-9y = -15

Divide each side by '-9'.
y = 1.666666667

Simplifying
y = 1.666666667

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