3y-7=12y+65

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Solution for 3y-7=12y+65 equation:


Simplifying
3y + -7 = 12y + 65

Reorder the terms:
-7 + 3y = 12y + 65

Reorder the terms:
-7 + 3y = 65 + 12y

Solving
-7 + 3y = 65 + 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 = 65 + 12y + -12y

Combine like terms: 3y + -12y = -9y
-7 + -9y = 65 + 12y + -12y

Combine like terms: 12y + -12y = 0
-7 + -9y = 65 + 0
-7 + -9y = 65

Add '7' to each side of the equation.
-7 + 7 + -9y = 65 + 7

Combine like terms: -7 + 7 = 0
0 + -9y = 65 + 7
-9y = 65 + 7

Combine like terms: 65 + 7 = 72
-9y = 72

Divide each side by '-9'.
y = -8

Simplifying
y = -8

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