12(15+2y)=4y-(6-9y)

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Solution for 12(15+2y)=4y-(6-9y) equation:


Simplifying
12(15 + 2y) = 4y + -1(6 + -9y)
(15 * 12 + 2y * 12) = 4y + -1(6 + -9y)
(180 + 24y) = 4y + -1(6 + -9y)
180 + 24y = 4y + (6 * -1 + -9y * -1)
180 + 24y = 4y + (-6 + 9y)

Reorder the terms:
180 + 24y = -6 + 4y + 9y

Combine like terms: 4y + 9y = 13y
180 + 24y = -6 + 13y

Solving
180 + 24y = -6 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
180 + 24y + -13y = -6 + 13y + -13y

Combine like terms: 24y + -13y = 11y
180 + 11y = -6 + 13y + -13y

Combine like terms: 13y + -13y = 0
180 + 11y = -6 + 0
180 + 11y = -6

Add '-180' to each side of the equation.
180 + -180 + 11y = -6 + -180

Combine like terms: 180 + -180 = 0
0 + 11y = -6 + -180
11y = -6 + -180

Combine like terms: -6 + -180 = -186
11y = -186

Divide each side by '11'.
y = -16.90909091

Simplifying
y = -16.90909091

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