-59+12y+7=4(4y-3)-8

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Solution for -59+12y+7=4(4y-3)-8 equation: 


Simplifying
-59 + 12y + 7 = 4(4y + -3) + -8

Reorder the terms:
-59 + 7 + 12y = 4(4y + -3) + -8

Combine like terms: -59 + 7 = -52
-52 + 12y = 4(4y + -3) + -8

Reorder the terms:
-52 + 12y = 4(-3 + 4y) + -8
-52 + 12y = (-3 * 4 + 4y * 4) + -8
-52 + 12y = (-12 + 16y) + -8

Reorder the terms:
-52 + 12y = -12 + -8 + 16y

Combine like terms: -12 + -8 = -20
-52 + 12y = -20 + 16y

Solving
-52 + 12y = -20 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
-52 + 12y + -16y = -20 + 16y + -16y

Combine like terms: 12y + -16y = -4y
-52 + -4y = -20 + 16y + -16y

Combine like terms: 16y + -16y = 0
-52 + -4y = -20 + 0
-52 + -4y = -20

Add '52' to each side of the equation.
-52 + 52 + -4y = -20 + 52

Combine like terms: -52 + 52 = 0
0 + -4y = -20 + 52
-4y = -20 + 52

Combine like terms: -20 + 52 = 32
-4y = 32

Divide each side by '-4'.
y = -8

Simplifying
y = -8

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