-1.6(2y+15)=-1.3(2y-10)

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Solution for -1.6(2y+15)=-1.3(2y-10) equation: 


Simplifying
-1.6(2y + 15) = -1.3(2y + -10)

Reorder the terms:
-1.6(15 + 2y) = -1.3(2y + -10)
(15 * -1.6 + 2y * -1.6) = -1.3(2y + -10)
(-24 + -3.2y) = -1.3(2y + -10)

Reorder the terms:
-24 + -3.2y = -1.3(-10 + 2y)
-24 + -3.2y = (-10 * -1.3 + 2y * -1.3)
-24 + -3.2y = (13 + -2.6y)

Solving
-24 + -3.2y = 13 + -2.6y

Solving for variable 'y'.

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

Add '2.6y' to each side of the equation.
-24 + -3.2y + 2.6y = 13 + -2.6y + 2.6y

Combine like terms: -3.2y + 2.6y = -0.6y
-24 + -0.6y = 13 + -2.6y + 2.6y

Combine like terms: -2.6y + 2.6y = 0.0
-24 + -0.6y = 13 + 0.0
-24 + -0.6y = 13

Add '24' to each side of the equation.
-24 + 24 + -0.6y = 13 + 24

Combine like terms: -24 + 24 = 0
0 + -0.6y = 13 + 24
-0.6y = 13 + 24

Combine like terms: 13 + 24 = 37
-0.6y = 37

Divide each side by '-0.6'.
y = -61.66666667

Simplifying
y = -61.66666667

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