3(y+6)+12=(9y-30)-18

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Solution for 3(y+6)+12=(9y-30)-18 equation:


Simplifying
3(y + 6) + 12 = (9y + -30) + -18

Reorder the terms:
3(6 + y) + 12 = (9y + -30) + -18
(6 * 3 + y * 3) + 12 = (9y + -30) + -18
(18 + 3y) + 12 = (9y + -30) + -18

Reorder the terms:
18 + 12 + 3y = (9y + -30) + -18

Combine like terms: 18 + 12 = 30
30 + 3y = (9y + -30) + -18

Reorder the terms:
30 + 3y = (-30 + 9y) + -18

Remove parenthesis around (-30 + 9y)
30 + 3y = -30 + 9y + -18

Reorder the terms:
30 + 3y = -30 + -18 + 9y

Combine like terms: -30 + -18 = -48
30 + 3y = -48 + 9y

Solving
30 + 3y = -48 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
30 + 3y + -9y = -48 + 9y + -9y

Combine like terms: 3y + -9y = -6y
30 + -6y = -48 + 9y + -9y

Combine like terms: 9y + -9y = 0
30 + -6y = -48 + 0
30 + -6y = -48

Add '-30' to each side of the equation.
30 + -30 + -6y = -48 + -30

Combine like terms: 30 + -30 = 0
0 + -6y = -48 + -30
-6y = -48 + -30

Combine like terms: -48 + -30 = -78
-6y = -78

Divide each side by '-6'.
y = 13

Simplifying
y = 13

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