-5-8(3y-9)=-2(2y-8)+8

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Solution for -5-8(3y-9)=-2(2y-8)+8 equation: 


Simplifying
-5 + -8(3y + -9) = -2(2y + -8) + 8

Reorder the terms:
-5 + -8(-9 + 3y) = -2(2y + -8) + 8
-5 + (-9 * -8 + 3y * -8) = -2(2y + -8) + 8
-5 + (72 + -24y) = -2(2y + -8) + 8

Combine like terms: -5 + 72 = 67
67 + -24y = -2(2y + -8) + 8

Reorder the terms:
67 + -24y = -2(-8 + 2y) + 8
67 + -24y = (-8 * -2 + 2y * -2) + 8
67 + -24y = (16 + -4y) + 8

Reorder the terms:
67 + -24y = 16 + 8 + -4y

Combine like terms: 16 + 8 = 24
67 + -24y = 24 + -4y

Solving
67 + -24y = 24 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
67 + -24y + 4y = 24 + -4y + 4y

Combine like terms: -24y + 4y = -20y
67 + -20y = 24 + -4y + 4y

Combine like terms: -4y + 4y = 0
67 + -20y = 24 + 0
67 + -20y = 24

Add '-67' to each side of the equation.
67 + -67 + -20y = 24 + -67

Combine like terms: 67 + -67 = 0
0 + -20y = 24 + -67
-20y = 24 + -67

Combine like terms: 24 + -67 = -43
-20y = -43

Divide each side by '-20'.
y = 2.15

Simplifying
y = 2.15

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