3+8(4y+7)=-9(-5y-7)+8

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Solution for 3+8(4y+7)=-9(-5y-7)+8 equation: 


Simplifying
3 + 8(4y + 7) = -9(-5y + -7) + 8

Reorder the terms:
3 + 8(7 + 4y) = -9(-5y + -7) + 8
3 + (7 * 8 + 4y * 8) = -9(-5y + -7) + 8
3 + (56 + 32y) = -9(-5y + -7) + 8

Combine like terms: 3 + 56 = 59
59 + 32y = -9(-5y + -7) + 8

Reorder the terms:
59 + 32y = -9(-7 + -5y) + 8
59 + 32y = (-7 * -9 + -5y * -9) + 8
59 + 32y = (63 + 45y) + 8

Reorder the terms:
59 + 32y = 63 + 8 + 45y

Combine like terms: 63 + 8 = 71
59 + 32y = 71 + 45y

Solving
59 + 32y = 71 + 45y

Solving for variable 'y'.

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

Add '-45y' to each side of the equation.
59 + 32y + -45y = 71 + 45y + -45y

Combine like terms: 32y + -45y = -13y
59 + -13y = 71 + 45y + -45y

Combine like terms: 45y + -45y = 0
59 + -13y = 71 + 0
59 + -13y = 71

Add '-59' to each side of the equation.
59 + -59 + -13y = 71 + -59

Combine like terms: 59 + -59 = 0
0 + -13y = 71 + -59
-13y = 71 + -59

Combine like terms: 71 + -59 = 12
-13y = 12

Divide each side by '-13'.
y = -0.9230769231

Simplifying
y = -0.9230769231

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