4(3-7y)+10=-10y-86

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Solution for 4(3-7y)+10=-10y-86 equation: 


Simplifying
4(3 + -7y) + 10 = -10y + -86
(3 * 4 + -7y * 4) + 10 = -10y + -86
(12 + -28y) + 10 = -10y + -86

Reorder the terms:
12 + 10 + -28y = -10y + -86

Combine like terms: 12 + 10 = 22
22 + -28y = -10y + -86

Reorder the terms:
22 + -28y = -86 + -10y

Solving
22 + -28y = -86 + -10y

Solving for variable 'y'.

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

Add '10y' to each side of the equation.
22 + -28y + 10y = -86 + -10y + 10y

Combine like terms: -28y + 10y = -18y
22 + -18y = -86 + -10y + 10y

Combine like terms: -10y + 10y = 0
22 + -18y = -86 + 0
22 + -18y = -86

Add '-22' to each side of the equation.
22 + -22 + -18y = -86 + -22

Combine like terms: 22 + -22 = 0
0 + -18y = -86 + -22
-18y = -86 + -22

Combine like terms: -86 + -22 = -108
-18y = -108

Divide each side by '-18'.
y = 6

Simplifying
y = 6

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