-1.6(2y+15)=-1.2(2y-10)

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Solution for -1.6(2y+15)=-1.2(2y-10) equation: 


Simplifying
-1.6(2y + 15) = -1.2(2y + -10)

Reorder the terms:
-1.6(15 + 2y) = -1.2(2y + -10)
(15 * -1.6 + 2y * -1.6) = -1.2(2y + -10)
(-24 + -3.2y) = -1.2(2y + -10)

Reorder the terms:
-24 + -3.2y = -1.2(-10 + 2y)
-24 + -3.2y = (-10 * -1.2 + 2y * -1.2)
-24 + -3.2y = (12 + -2.4y)

Solving
-24 + -3.2y = 12 + -2.4y

Solving for variable 'y'.

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

Add '2.4y' to each side of the equation.
-24 + -3.2y + 2.4y = 12 + -2.4y + 2.4y

Combine like terms: -3.2y + 2.4y = -0.8y
-24 + -0.8y = 12 + -2.4y + 2.4y

Combine like terms: -2.4y + 2.4y = 0.0
-24 + -0.8y = 12 + 0.0
-24 + -0.8y = 12

Add '24' to each side of the equation.
-24 + 24 + -0.8y = 12 + 24

Combine like terms: -24 + 24 = 0
0 + -0.8y = 12 + 24
-0.8y = 12 + 24

Combine like terms: 12 + 24 = 36
-0.8y = 36

Divide each side by '-0.8'.
y = -45

Simplifying
y = -45

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