3(-4y+39)=y-13

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Solution for 3(-4y+39)=y-13 equation: 


Simplifying
3(-4y + 39) = y + -13

Reorder the terms:
3(39 + -4y) = y + -13
(39 * 3 + -4y * 3) = y + -13
(117 + -12y) = y + -13

Reorder the terms:
117 + -12y = -13 + y

Solving
117 + -12y = -13 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
117 + -12y + -1y = -13 + y + -1y

Combine like terms: -12y + -1y = -13y
117 + -13y = -13 + y + -1y

Combine like terms: y + -1y = 0
117 + -13y = -13 + 0
117 + -13y = -13

Add '-117' to each side of the equation.
117 + -117 + -13y = -13 + -117

Combine like terms: 117 + -117 = 0
0 + -13y = -13 + -117
-13y = -13 + -117

Combine like terms: -13 + -117 = -130
-13y = -130

Divide each side by '-13'.
y = 10

Simplifying
y = 10

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