6(2-3y)-42=-2(y+1)

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Solution for 6(2-3y)-42=-2(y+1) equation:


Simplifying
6(2 + -3y) + -42 = -2(y + 1)
(2 * 6 + -3y * 6) + -42 = -2(y + 1)
(12 + -18y) + -42 = -2(y + 1)

Reorder the terms:
12 + -42 + -18y = -2(y + 1)

Combine like terms: 12 + -42 = -30
-30 + -18y = -2(y + 1)

Reorder the terms:
-30 + -18y = -2(1 + y)
-30 + -18y = (1 * -2 + y * -2)
-30 + -18y = (-2 + -2y)

Solving
-30 + -18y = -2 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-30 + -18y + 2y = -2 + -2y + 2y

Combine like terms: -18y + 2y = -16y
-30 + -16y = -2 + -2y + 2y

Combine like terms: -2y + 2y = 0
-30 + -16y = -2 + 0
-30 + -16y = -2

Add '30' to each side of the equation.
-30 + 30 + -16y = -2 + 30

Combine like terms: -30 + 30 = 0
0 + -16y = -2 + 30
-16y = -2 + 30

Combine like terms: -2 + 30 = 28
-16y = 28

Divide each side by '-16'.
y = -1.75

Simplifying
y = -1.75

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