-63+6y+2=3(4y-4)-7

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Solution for -63+6y+2=3(4y-4)-7 equation: 


Simplifying
-63 + 6y + 2 = 3(4y + -4) + -7

Reorder the terms:
-63 + 2 + 6y = 3(4y + -4) + -7

Combine like terms: -63 + 2 = -61
-61 + 6y = 3(4y + -4) + -7

Reorder the terms:
-61 + 6y = 3(-4 + 4y) + -7
-61 + 6y = (-4 * 3 + 4y * 3) + -7
-61 + 6y = (-12 + 12y) + -7

Reorder the terms:
-61 + 6y = -12 + -7 + 12y

Combine like terms: -12 + -7 = -19
-61 + 6y = -19 + 12y

Solving
-61 + 6y = -19 + 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.
-61 + 6y + -12y = -19 + 12y + -12y

Combine like terms: 6y + -12y = -6y
-61 + -6y = -19 + 12y + -12y

Combine like terms: 12y + -12y = 0
-61 + -6y = -19 + 0
-61 + -6y = -19

Add '61' to each side of the equation.
-61 + 61 + -6y = -19 + 61

Combine like terms: -61 + 61 = 0
0 + -6y = -19 + 61
-6y = -19 + 61

Combine like terms: -19 + 61 = 42
-6y = 42

Divide each side by '-6'.
y = -7

Simplifying
y = -7

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