-7(-4y-8)+13y+9(18y-19)=9(19y+3)+12-8

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Solution for -7(-4y-8)+13y+9(18y-19)=9(19y+3)+12-8 equation: 


Simplifying
-7(-4y + -8) + 13y + 9(18y + -19) = 9(19y + 3) + 12 + -8

Reorder the terms:
-7(-8 + -4y) + 13y + 9(18y + -19) = 9(19y + 3) + 12 + -8
(-8 * -7 + -4y * -7) + 13y + 9(18y + -19) = 9(19y + 3) + 12 + -8
(56 + 28y) + 13y + 9(18y + -19) = 9(19y + 3) + 12 + -8

Reorder the terms:
56 + 28y + 13y + 9(-19 + 18y) = 9(19y + 3) + 12 + -8
56 + 28y + 13y + (-19 * 9 + 18y * 9) = 9(19y + 3) + 12 + -8
56 + 28y + 13y + (-171 + 162y) = 9(19y + 3) + 12 + -8

Reorder the terms:
56 + -171 + 28y + 13y + 162y = 9(19y + 3) + 12 + -8

Combine like terms: 56 + -171 = -115
-115 + 28y + 13y + 162y = 9(19y + 3) + 12 + -8

Combine like terms: 28y + 13y = 41y
-115 + 41y + 162y = 9(19y + 3) + 12 + -8

Combine like terms: 41y + 162y = 203y
-115 + 203y = 9(19y + 3) + 12 + -8

Reorder the terms:
-115 + 203y = 9(3 + 19y) + 12 + -8
-115 + 203y = (3 * 9 + 19y * 9) + 12 + -8
-115 + 203y = (27 + 171y) + 12 + -8

Reorder the terms:
-115 + 203y = 27 + 12 + -8 + 171y

Combine like terms: 27 + 12 = 39
-115 + 203y = 39 + -8 + 171y

Combine like terms: 39 + -8 = 31
-115 + 203y = 31 + 171y

Solving
-115 + 203y = 31 + 171y

Solving for variable 'y'.

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

Add '-171y' to each side of the equation.
-115 + 203y + -171y = 31 + 171y + -171y

Combine like terms: 203y + -171y = 32y
-115 + 32y = 31 + 171y + -171y

Combine like terms: 171y + -171y = 0
-115 + 32y = 31 + 0
-115 + 32y = 31

Add '115' to each side of the equation.
-115 + 115 + 32y = 31 + 115

Combine like terms: -115 + 115 = 0
0 + 32y = 31 + 115
32y = 31 + 115

Combine like terms: 31 + 115 = 146
32y = 146

Divide each side by '32'.
y = 4.5625

Simplifying
y = 4.5625

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