-12(y+3)+6(3y-4)=5(y-5)+12

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Solution for -12(y+3)+6(3y-4)=5(y-5)+12 equation:


Simplifying
-12(y + 3) + 6(3y + -4) = 5(y + -5) + 12

Reorder the terms:
-12(3 + y) + 6(3y + -4) = 5(y + -5) + 12
(3 * -12 + y * -12) + 6(3y + -4) = 5(y + -5) + 12
(-36 + -12y) + 6(3y + -4) = 5(y + -5) + 12

Reorder the terms:
-36 + -12y + 6(-4 + 3y) = 5(y + -5) + 12
-36 + -12y + (-4 * 6 + 3y * 6) = 5(y + -5) + 12
-36 + -12y + (-24 + 18y) = 5(y + -5) + 12

Reorder the terms:
-36 + -24 + -12y + 18y = 5(y + -5) + 12

Combine like terms: -36 + -24 = -60
-60 + -12y + 18y = 5(y + -5) + 12

Combine like terms: -12y + 18y = 6y
-60 + 6y = 5(y + -5) + 12

Reorder the terms:
-60 + 6y = 5(-5 + y) + 12
-60 + 6y = (-5 * 5 + y * 5) + 12
-60 + 6y = (-25 + 5y) + 12

Reorder the terms:
-60 + 6y = -25 + 12 + 5y

Combine like terms: -25 + 12 = -13
-60 + 6y = -13 + 5y

Solving
-60 + 6y = -13 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-60 + 6y + -5y = -13 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-60 + 1y = -13 + 5y + -5y

Combine like terms: 5y + -5y = 0
-60 + 1y = -13 + 0
-60 + 1y = -13

Add '60' to each side of the equation.
-60 + 60 + 1y = -13 + 60

Combine like terms: -60 + 60 = 0
0 + 1y = -13 + 60
1y = -13 + 60

Combine like terms: -13 + 60 = 47
1y = 47

Divide each side by '1'.
y = 47

Simplifying
y = 47

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