3(y+4)=-12(y-1)-105

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Solution for 3(y+4)=-12(y-1)-105 equation: 


Simplifying
3(y + 4) = -12(y + -1) + -105

Reorder the terms:
3(4 + y) = -12(y + -1) + -105
(4 * 3 + y * 3) = -12(y + -1) + -105
(12 + 3y) = -12(y + -1) + -105

Reorder the terms:
12 + 3y = -12(-1 + y) + -105
12 + 3y = (-1 * -12 + y * -12) + -105
12 + 3y = (12 + -12y) + -105

Reorder the terms:
12 + 3y = 12 + -105 + -12y

Combine like terms: 12 + -105 = -93
12 + 3y = -93 + -12y

Solving
12 + 3y = -93 + -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.
12 + 3y + 12y = -93 + -12y + 12y

Combine like terms: 3y + 12y = 15y
12 + 15y = -93 + -12y + 12y

Combine like terms: -12y + 12y = 0
12 + 15y = -93 + 0
12 + 15y = -93

Add '-12' to each side of the equation.
12 + -12 + 15y = -93 + -12

Combine like terms: 12 + -12 = 0
0 + 15y = -93 + -12
15y = -93 + -12

Combine like terms: -93 + -12 = -105
15y = -105

Divide each side by '15'.
y = -7

Simplifying
y = -7

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