8+9(5y-6)=-3(-8y+4)-9

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Solution for 8+9(5y-6)=-3(-8y+4)-9 equation:


Simplifying
8 + 9(5y + -6) = -3(-8y + 4) + -9

Reorder the terms:
8 + 9(-6 + 5y) = -3(-8y + 4) + -9
8 + (-6 * 9 + 5y * 9) = -3(-8y + 4) + -9
8 + (-54 + 45y) = -3(-8y + 4) + -9

Combine like terms: 8 + -54 = -46
-46 + 45y = -3(-8y + 4) + -9

Reorder the terms:
-46 + 45y = -3(4 + -8y) + -9
-46 + 45y = (4 * -3 + -8y * -3) + -9
-46 + 45y = (-12 + 24y) + -9

Reorder the terms:
-46 + 45y = -12 + -9 + 24y

Combine like terms: -12 + -9 = -21
-46 + 45y = -21 + 24y

Solving
-46 + 45y = -21 + 24y

Solving for variable 'y'.

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

Add '-24y' to each side of the equation.
-46 + 45y + -24y = -21 + 24y + -24y

Combine like terms: 45y + -24y = 21y
-46 + 21y = -21 + 24y + -24y

Combine like terms: 24y + -24y = 0
-46 + 21y = -21 + 0
-46 + 21y = -21

Add '46' to each side of the equation.
-46 + 46 + 21y = -21 + 46

Combine like terms: -46 + 46 = 0
0 + 21y = -21 + 46
21y = -21 + 46

Combine like terms: -21 + 46 = 25
21y = 25

Divide each side by '21'.
y = 1.19047619

Simplifying
y = 1.19047619

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