-81+3y+2=3(4y-3)-7

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Solution for -81+3y+2=3(4y-3)-7 equation:


Simplifying
-81 + 3y + 2 = 3(4y + -3) + -7

Reorder the terms:
-81 + 2 + 3y = 3(4y + -3) + -7

Combine like terms: -81 + 2 = -79
-79 + 3y = 3(4y + -3) + -7

Reorder the terms:
-79 + 3y = 3(-3 + 4y) + -7
-79 + 3y = (-3 * 3 + 4y * 3) + -7
-79 + 3y = (-9 + 12y) + -7

Reorder the terms:
-79 + 3y = -9 + -7 + 12y

Combine like terms: -9 + -7 = -16
-79 + 3y = -16 + 12y

Solving
-79 + 3y = -16 + 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.
-79 + 3y + -12y = -16 + 12y + -12y

Combine like terms: 3y + -12y = -9y
-79 + -9y = -16 + 12y + -12y

Combine like terms: 12y + -12y = 0
-79 + -9y = -16 + 0
-79 + -9y = -16

Add '79' to each side of the equation.
-79 + 79 + -9y = -16 + 79

Combine like terms: -79 + 79 = 0
0 + -9y = -16 + 79
-9y = -16 + 79

Combine like terms: -16 + 79 = 63
-9y = 63

Divide each side by '-9'.
y = -7

Simplifying
y = -7

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