-2(-4-6y)+7(-y+5)=-8

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Solution for -2(-4-6y)+7(-y+5)=-8 equation: 


Simplifying
-2(-4 + -6y) + 7(-1y + 5) = -8
(-4 * -2 + -6y * -2) + 7(-1y + 5) = -8
(8 + 12y) + 7(-1y + 5) = -8

Reorder the terms:
8 + 12y + 7(5 + -1y) = -8
8 + 12y + (5 * 7 + -1y * 7) = -8
8 + 12y + (35 + -7y) = -8

Reorder the terms:
8 + 35 + 12y + -7y = -8

Combine like terms: 8 + 35 = 43
43 + 12y + -7y = -8

Combine like terms: 12y + -7y = 5y
43 + 5y = -8

Solving
43 + 5y = -8

Solving for variable 'y'.

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

Add '-43' to each side of the equation.
43 + -43 + 5y = -8 + -43

Combine like terms: 43 + -43 = 0
0 + 5y = -8 + -43
5y = -8 + -43

Combine like terms: -8 + -43 = -51
5y = -51

Divide each side by '5'.
y = -10.2

Simplifying
y = -10.2

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