2(y+9)=12-3(y+14)+3y

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Solution for 2(y+9)=12-3(y+14)+3y equation:


Simplifying
2(y + 9) = 12 + -3(y + 14) + 3y

Reorder the terms:
2(9 + y) = 12 + -3(y + 14) + 3y
(9 * 2 + y * 2) = 12 + -3(y + 14) + 3y
(18 + 2y) = 12 + -3(y + 14) + 3y

Reorder the terms:
18 + 2y = 12 + -3(14 + y) + 3y
18 + 2y = 12 + (14 * -3 + y * -3) + 3y
18 + 2y = 12 + (-42 + -3y) + 3y

Combine like terms: 12 + -42 = -30
18 + 2y = -30 + -3y + 3y

Combine like terms: -3y + 3y = 0
18 + 2y = -30 + 0
18 + 2y = -30

Solving
18 + 2y = -30

Solving for variable 'y'.

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

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

Combine like terms: 18 + -18 = 0
0 + 2y = -30 + -18
2y = -30 + -18

Combine like terms: -30 + -18 = -48
2y = -48

Divide each side by '2'.
y = -24

Simplifying
y = -24

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