1.2(y+2)=-1.5(y+10)

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Solution for 1.2(y+2)=-1.5(y+10) equation: 


Simplifying
1.2(y + 2) = -1.5(y + 10)

Reorder the terms:
1.2(2 + y) = -1.5(y + 10)
(2 * 1.2 + y * 1.2) = -1.5(y + 10)
(2.4 + 1.2y) = -1.5(y + 10)

Reorder the terms:
2.4 + 1.2y = -1.5(10 + y)
2.4 + 1.2y = (10 * -1.5 + y * -1.5)
2.4 + 1.2y = (-15 + -1.5y)

Solving
2.4 + 1.2y = -15 + -1.5y

Solving for variable 'y'.

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

Add '1.5y' to each side of the equation.
2.4 + 1.2y + 1.5y = -15 + -1.5y + 1.5y

Combine like terms: 1.2y + 1.5y = 2.7y
2.4 + 2.7y = -15 + -1.5y + 1.5y

Combine like terms: -1.5y + 1.5y = 0.0
2.4 + 2.7y = -15 + 0.0
2.4 + 2.7y = -15

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 2.7y = -15 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 2.7y = -15 + -2.4
2.7y = -15 + -2.4

Combine like terms: -15 + -2.4 = -17.4
2.7y = -17.4

Divide each side by '2.7'.
y = -6.444444444

Simplifying
y = -6.444444444

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