-6y-9(-5y+2)=7-8(-8-y)

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Solution for -6y-9(-5y+2)=7-8(-8-y) equation:


Simplifying
-6y + -9(-5y + 2) = 7 + -8(-8 + -1y)

Reorder the terms:
-6y + -9(2 + -5y) = 7 + -8(-8 + -1y)
-6y + (2 * -9 + -5y * -9) = 7 + -8(-8 + -1y)
-6y + (-18 + 45y) = 7 + -8(-8 + -1y)

Reorder the terms:
-18 + -6y + 45y = 7 + -8(-8 + -1y)

Combine like terms: -6y + 45y = 39y
-18 + 39y = 7 + -8(-8 + -1y)
-18 + 39y = 7 + (-8 * -8 + -1y * -8)
-18 + 39y = 7 + (64 + 8y)

Combine like terms: 7 + 64 = 71
-18 + 39y = 71 + 8y

Solving
-18 + 39y = 71 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-18 + 39y + -8y = 71 + 8y + -8y

Combine like terms: 39y + -8y = 31y
-18 + 31y = 71 + 8y + -8y

Combine like terms: 8y + -8y = 0
-18 + 31y = 71 + 0
-18 + 31y = 71

Add '18' to each side of the equation.
-18 + 18 + 31y = 71 + 18

Combine like terms: -18 + 18 = 0
0 + 31y = 71 + 18
31y = 71 + 18

Combine like terms: 71 + 18 = 89
31y = 89

Divide each side by '31'.
y = 2.870967742

Simplifying
y = 2.870967742

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