-3(4-5y)+2(-y+5)=-15

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Solution for -3(4-5y)+2(-y+5)=-15 equation: 


Simplifying
-3(4 + -5y) + 2(-1y + 5) = -15
(4 * -3 + -5y * -3) + 2(-1y + 5) = -15
(-12 + 15y) + 2(-1y + 5) = -15

Reorder the terms:
-12 + 15y + 2(5 + -1y) = -15
-12 + 15y + (5 * 2 + -1y * 2) = -15
-12 + 15y + (10 + -2y) = -15

Reorder the terms:
-12 + 10 + 15y + -2y = -15

Combine like terms: -12 + 10 = -2
-2 + 15y + -2y = -15

Combine like terms: 15y + -2y = 13y
-2 + 13y = -15

Solving
-2 + 13y = -15

Solving for variable 'y'.

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

Add '2' to each side of the equation.
-2 + 2 + 13y = -15 + 2

Combine like terms: -2 + 2 = 0
0 + 13y = -15 + 2
13y = -15 + 2

Combine like terms: -15 + 2 = -13
13y = -13

Divide each side by '13'.
y = -1

Simplifying
y = -1

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