3(2y+4)-42=-1(12y-24)

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Solution for 3(2y+4)-42=-1(12y-24) equation:


Simplifying
3(2y + 4) + -42 = -1(12y + -24)

Reorder the terms:
3(4 + 2y) + -42 = -1(12y + -24)
(4 * 3 + 2y * 3) + -42 = -1(12y + -24)
(12 + 6y) + -42 = -1(12y + -24)

Reorder the terms:
12 + -42 + 6y = -1(12y + -24)

Combine like terms: 12 + -42 = -30
-30 + 6y = -1(12y + -24)

Reorder the terms:
-30 + 6y = -1(-24 + 12y)
-30 + 6y = (-24 * -1 + 12y * -1)
-30 + 6y = (24 + -12y)

Solving
-30 + 6y = 24 + -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.
-30 + 6y + 12y = 24 + -12y + 12y

Combine like terms: 6y + 12y = 18y
-30 + 18y = 24 + -12y + 12y

Combine like terms: -12y + 12y = 0
-30 + 18y = 24 + 0
-30 + 18y = 24

Add '30' to each side of the equation.
-30 + 30 + 18y = 24 + 30

Combine like terms: -30 + 30 = 0
0 + 18y = 24 + 30
18y = 24 + 30

Combine like terms: 24 + 30 = 54
18y = 54

Divide each side by '18'.
y = 3

Simplifying
y = 3

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