-3(-4-6y)+7(-y+15)=-8

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Solution for -3(-4-6y)+7(-y+15)=-8 equation:


Simplifying
-3(-4 + -6y) + 7(-1y + 15) = -8
(-4 * -3 + -6y * -3) + 7(-1y + 15) = -8
(12 + 18y) + 7(-1y + 15) = -8

Reorder the terms:
12 + 18y + 7(15 + -1y) = -8
12 + 18y + (15 * 7 + -1y * 7) = -8
12 + 18y + (105 + -7y) = -8

Reorder the terms:
12 + 105 + 18y + -7y = -8

Combine like terms: 12 + 105 = 117
117 + 18y + -7y = -8

Combine like terms: 18y + -7y = 11y
117 + 11y = -8

Solving
117 + 11y = -8

Solving for variable 'y'.

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

Add '-117' to each side of the equation.
117 + -117 + 11y = -8 + -117

Combine like terms: 117 + -117 = 0
0 + 11y = -8 + -117
11y = -8 + -117

Combine like terms: -8 + -117 = -125
11y = -125

Divide each side by '11'.
y = -11.36363636

Simplifying
y = -11.36363636

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