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

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


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

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

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

Combine like terms: 18y + -7y = 11y
12 + 35w + 11y = -8

Solving
12 + 35w + 11y = -8

Solving for variable 'w'.

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

Add '-12' to each side of the equation.
12 + 35w + -12 + 11y = -8 + -12

Reorder the terms:
12 + -12 + 35w + 11y = -8 + -12

Combine like terms: 12 + -12 = 0
0 + 35w + 11y = -8 + -12
35w + 11y = -8 + -12

Combine like terms: -8 + -12 = -20
35w + 11y = -20

Add '-11y' to each side of the equation.
35w + 11y + -11y = -20 + -11y

Combine like terms: 11y + -11y = 0
35w + 0 = -20 + -11y
35w = -20 + -11y

Divide each side by '35'.
w = -0.5714285714 + -0.3142857143y

Simplifying
w = -0.5714285714 + -0.3142857143y

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