2(6y-18)-102=78-18(y+2)

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Solution for 2(6y-18)-102=78-18(y+2) equation:


Simplifying
2(6y + -18) + -102 = 78 + -18(y + 2)

Reorder the terms:
2(-18 + 6y) + -102 = 78 + -18(y + 2)
(-18 * 2 + 6y * 2) + -102 = 78 + -18(y + 2)
(-36 + 12y) + -102 = 78 + -18(y + 2)

Reorder the terms:
-36 + -102 + 12y = 78 + -18(y + 2)

Combine like terms: -36 + -102 = -138
-138 + 12y = 78 + -18(y + 2)

Reorder the terms:
-138 + 12y = 78 + -18(2 + y)
-138 + 12y = 78 + (2 * -18 + y * -18)
-138 + 12y = 78 + (-36 + -18y)

Combine like terms: 78 + -36 = 42
-138 + 12y = 42 + -18y

Solving
-138 + 12y = 42 + -18y

Solving for variable 'y'.

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

Add '18y' to each side of the equation.
-138 + 12y + 18y = 42 + -18y + 18y

Combine like terms: 12y + 18y = 30y
-138 + 30y = 42 + -18y + 18y

Combine like terms: -18y + 18y = 0
-138 + 30y = 42 + 0
-138 + 30y = 42

Add '138' to each side of the equation.
-138 + 138 + 30y = 42 + 138

Combine like terms: -138 + 138 = 0
0 + 30y = 42 + 138
30y = 42 + 138

Combine like terms: 42 + 138 = 180
30y = 180

Divide each side by '30'.
y = 6

Simplifying
y = 6

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