4(3y+9)=18-2(y-9)

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Solution for 4(3y+9)=18-2(y-9) equation:


Simplifying
4(3y + 9) = 18 + -2(y + -9)

Reorder the terms:
4(9 + 3y) = 18 + -2(y + -9)
(9 * 4 + 3y * 4) = 18 + -2(y + -9)
(36 + 12y) = 18 + -2(y + -9)

Reorder the terms:
36 + 12y = 18 + -2(-9 + y)
36 + 12y = 18 + (-9 * -2 + y * -2)
36 + 12y = 18 + (18 + -2y)

Combine like terms: 18 + 18 = 36
36 + 12y = 36 + -2y

Add '-36' to each side of the equation.
36 + -36 + 12y = 36 + -36 + -2y

Combine like terms: 36 + -36 = 0
0 + 12y = 36 + -36 + -2y
12y = 36 + -36 + -2y

Combine like terms: 36 + -36 = 0
12y = 0 + -2y
12y = -2y

Solving
12y = -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.
12y + 2y = -2y + 2y

Combine like terms: 12y + 2y = 14y
14y = -2y + 2y

Combine like terms: -2y + 2y = 0
14y = 0

Divide each side by '14'.
y = 0

Simplifying
y = 0

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