8(3y+5)-9=9(y-2)+14

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Solution for 8(3y+5)-9=9(y-2)+14 equation: 


Simplifying
8(3y + 5) + -9 = 9(y + -2) + 14

Reorder the terms:
8(5 + 3y) + -9 = 9(y + -2) + 14
(5 * 8 + 3y * 8) + -9 = 9(y + -2) + 14
(40 + 24y) + -9 = 9(y + -2) + 14

Reorder the terms:
40 + -9 + 24y = 9(y + -2) + 14

Combine like terms: 40 + -9 = 31
31 + 24y = 9(y + -2) + 14

Reorder the terms:
31 + 24y = 9(-2 + y) + 14
31 + 24y = (-2 * 9 + y * 9) + 14
31 + 24y = (-18 + 9y) + 14

Reorder the terms:
31 + 24y = -18 + 14 + 9y

Combine like terms: -18 + 14 = -4
31 + 24y = -4 + 9y

Solving
31 + 24y = -4 + 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.
31 + 24y + -9y = -4 + 9y + -9y

Combine like terms: 24y + -9y = 15y
31 + 15y = -4 + 9y + -9y

Combine like terms: 9y + -9y = 0
31 + 15y = -4 + 0
31 + 15y = -4

Add '-31' to each side of the equation.
31 + -31 + 15y = -4 + -31

Combine like terms: 31 + -31 = 0
0 + 15y = -4 + -31
15y = -4 + -31

Combine like terms: -4 + -31 = -35
15y = -35

Divide each side by '15'.
y = -2.333333333

Simplifying
y = -2.333333333

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