-3(-4+-6y)+7(-y+5)=-8

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Solution for -3(-4+-6y)+7(-y+5)=-8 equation: 


Simplifying
-3(-4 + -6y) + 7(-1y + 5) = -8
(-4 * -3 + -6y * -3) + 7(-1y + 5) = -8
(12 + 18y) + 7(-1y + 5) = -8

Reorder the terms:
12 + 18y + 7(5 + -1y) = -8
12 + 18y + (5 * 7 + -1y * 7) = -8
12 + 18y + (35 + -7y) = -8

Reorder the terms:
12 + 35 + 18y + -7y = -8

Combine like terms: 12 + 35 = 47
47 + 18y + -7y = -8

Combine like terms: 18y + -7y = 11y
47 + 11y = -8

Solving
47 + 11y = -8

Solving for variable 'y'.

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

Add '-47' to each side of the equation.
47 + -47 + 11y = -8 + -47

Combine like terms: 47 + -47 = 0
0 + 11y = -8 + -47
11y = -8 + -47

Combine like terms: -8 + -47 = -55
11y = -55

Divide each side by '11'.
y = -5

Simplifying
y = -5

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