2.7(y-0.5)=-2.7(y+16)

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Solution for 2.7(y-0.5)=-2.7(y+16) equation: 


Simplifying
2.7(y + -0.5) = -2.7(y + 16)

Reorder the terms:
2.7(-0.5 + y) = -2.7(y + 16)
(-0.5 * 2.7 + y * 2.7) = -2.7(y + 16)
(-1.35 + 2.7y) = -2.7(y + 16)

Reorder the terms:
-1.35 + 2.7y = -2.7(16 + y)
-1.35 + 2.7y = (16 * -2.7 + y * -2.7)
-1.35 + 2.7y = (-43.2 + -2.7y)

Solving
-1.35 + 2.7y = -43.2 + -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.
-1.35 + 2.7y + 2.7y = -43.2 + -2.7y + 2.7y

Combine like terms: 2.7y + 2.7y = 5.4y
-1.35 + 5.4y = -43.2 + -2.7y + 2.7y

Combine like terms: -2.7y + 2.7y = 0.0
-1.35 + 5.4y = -43.2 + 0.0
-1.35 + 5.4y = -43.2

Add '1.35' to each side of the equation.
-1.35 + 1.35 + 5.4y = -43.2 + 1.35

Combine like terms: -1.35 + 1.35 = 0.00
0.00 + 5.4y = -43.2 + 1.35
5.4y = -43.2 + 1.35

Combine like terms: -43.2 + 1.35 = -41.85
5.4y = -41.85

Divide each side by '5.4'.
y = -7.75

Simplifying
y = -7.75

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