-3(-5-6y)+7(-y+5)=-8

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Solution for -3(-5-6y)+7(-y+5)=-8 equation: 


Simplifying
-3(-5 + -6y) + 7(-1y + 5) = -8
(-5 * -3 + -6y * -3) + 7(-1y + 5) = -8
(15 + 18y) + 7(-1y + 5) = -8

Reorder the terms:
15 + 18y + 7(5 + -1y) = -8
15 + 18y + (5 * 7 + -1y * 7) = -8
15 + 18y + (35 + -7y) = -8

Reorder the terms:
15 + 35 + 18y + -7y = -8

Combine like terms: 15 + 35 = 50
50 + 18y + -7y = -8

Combine like terms: 18y + -7y = 11y
50 + 11y = -8

Solving
50 + 11y = -8

Solving for variable 'y'.

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

Add '-50' to each side of the equation.
50 + -50 + 11y = -8 + -50

Combine like terms: 50 + -50 = 0
0 + 11y = -8 + -50
11y = -8 + -50

Combine like terms: -8 + -50 = -58
11y = -58

Divide each side by '11'.
y = -5.272727273

Simplifying
y = -5.272727273

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