15(12-4y)=2(5y-15)

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Solution for 15(12-4y)=2(5y-15) equation: 


Simplifying
15(12 + -4y) = 2(5y + -15)
(12 * 15 + -4y * 15) = 2(5y + -15)
(180 + -60y) = 2(5y + -15)

Reorder the terms:
180 + -60y = 2(-15 + 5y)
180 + -60y = (-15 * 2 + 5y * 2)
180 + -60y = (-30 + 10y)

Solving
180 + -60y = -30 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
180 + -60y + -10y = -30 + 10y + -10y

Combine like terms: -60y + -10y = -70y
180 + -70y = -30 + 10y + -10y

Combine like terms: 10y + -10y = 0
180 + -70y = -30 + 0
180 + -70y = -30

Add '-180' to each side of the equation.
180 + -180 + -70y = -30 + -180

Combine like terms: 180 + -180 = 0
0 + -70y = -30 + -180
-70y = -30 + -180

Combine like terms: -30 + -180 = -210
-70y = -210

Divide each side by '-70'.
y = 3

Simplifying
y = 3

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