-3(-4-6y)+7(-y+6)=-8

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Solution for -3(-4-6y)+7(-y+6)=-8 equation: 


Simplifying
-3(-4 + -6y) + 7(-1y + 6) = -8
(-4 * -3 + -6y * -3) + 7(-1y + 6) = -8
(12 + 18y) + 7(-1y + 6) = -8

Reorder the terms:
12 + 18y + 7(6 + -1y) = -8
12 + 18y + (6 * 7 + -1y * 7) = -8
12 + 18y + (42 + -7y) = -8

Reorder the terms:
12 + 42 + 18y + -7y = -8

Combine like terms: 12 + 42 = 54
54 + 18y + -7y = -8

Combine like terms: 18y + -7y = 11y
54 + 11y = -8

Solving
54 + 11y = -8

Solving for variable 'y'.

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

Add '-54' to each side of the equation.
54 + -54 + 11y = -8 + -54

Combine like terms: 54 + -54 = 0
0 + 11y = -8 + -54
11y = -8 + -54

Combine like terms: -8 + -54 = -62
11y = -62

Divide each side by '11'.
y = -5.636363636

Simplifying
y = -5.636363636

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