-1.2(y-1.5)=-2.7(y+0.5)

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Solution for -1.2(y-1.5)=-2.7(y+0.5) equation: 


Simplifying
-1.2(y + -1.5) = -2.7(y + 0.5)

Reorder the terms:
-1.2(-1.5 + y) = -2.7(y + 0.5)
(-1.5 * -1.2 + y * -1.2) = -2.7(y + 0.5)
(1.8 + -1.2y) = -2.7(y + 0.5)

Reorder the terms:
1.8 + -1.2y = -2.7(0.5 + y)
1.8 + -1.2y = (0.5 * -2.7 + y * -2.7)
1.8 + -1.2y = (-1.35 + -2.7y)

Solving
1.8 + -1.2y = -1.35 + -2.7y

Solving for variable 'y'.

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

Add '2.7y' to each side of the equation.
1.8 + -1.2y + 2.7y = -1.35 + -2.7y + 2.7y

Combine like terms: -1.2y + 2.7y = 1.5y
1.8 + 1.5y = -1.35 + -2.7y + 2.7y

Combine like terms: -2.7y + 2.7y = 0.0
1.8 + 1.5y = -1.35 + 0.0
1.8 + 1.5y = -1.35

Add '-1.8' to each side of the equation.
1.8 + -1.8 + 1.5y = -1.35 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 1.5y = -1.35 + -1.8
1.5y = -1.35 + -1.8

Combine like terms: -1.35 + -1.8 = -3.15
1.5y = -3.15

Divide each side by '1.5'.
y = -2.1

Simplifying
y = -2.1

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