-5y+4(4y+8)=8-9(-6-y)

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Solution for -5y+4(4y+8)=8-9(-6-y) equation: 


Simplifying
-5y + 4(4y + 8) = 8 + -9(-6 + -1y)

Reorder the terms:
-5y + 4(8 + 4y) = 8 + -9(-6 + -1y)
-5y + (8 * 4 + 4y * 4) = 8 + -9(-6 + -1y)
-5y + (32 + 16y) = 8 + -9(-6 + -1y)

Reorder the terms:
32 + -5y + 16y = 8 + -9(-6 + -1y)

Combine like terms: -5y + 16y = 11y
32 + 11y = 8 + -9(-6 + -1y)
32 + 11y = 8 + (-6 * -9 + -1y * -9)
32 + 11y = 8 + (54 + 9y)

Combine like terms: 8 + 54 = 62
32 + 11y = 62 + 9y

Solving
32 + 11y = 62 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
32 + 11y + -9y = 62 + 9y + -9y

Combine like terms: 11y + -9y = 2y
32 + 2y = 62 + 9y + -9y

Combine like terms: 9y + -9y = 0
32 + 2y = 62 + 0
32 + 2y = 62

Add '-32' to each side of the equation.
32 + -32 + 2y = 62 + -32

Combine like terms: 32 + -32 = 0
0 + 2y = 62 + -32
2y = 62 + -32

Combine like terms: 62 + -32 = 30
2y = 30

Divide each side by '2'.
y = 15

Simplifying
y = 15

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