6(y-5)+9(y+2)=108

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Solution for 6(y-5)+9(y+2)=108 equation: 


Simplifying
6(y + -5) + 9(y + 2) = 108

Reorder the terms:
6(-5 + y) + 9(y + 2) = 108
(-5 * 6 + y * 6) + 9(y + 2) = 108
(-30 + 6y) + 9(y + 2) = 108

Reorder the terms:
-30 + 6y + 9(2 + y) = 108
-30 + 6y + (2 * 9 + y * 9) = 108
-30 + 6y + (18 + 9y) = 108

Reorder the terms:
-30 + 18 + 6y + 9y = 108

Combine like terms: -30 + 18 = -12
-12 + 6y + 9y = 108

Combine like terms: 6y + 9y = 15y
-12 + 15y = 108

Solving
-12 + 15y = 108

Solving for variable 'y'.

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

Add '12' to each side of the equation.
-12 + 12 + 15y = 108 + 12

Combine like terms: -12 + 12 = 0
0 + 15y = 108 + 12
15y = 108 + 12

Combine like terms: 108 + 12 = 120
15y = 120

Divide each side by '15'.
y = 8

Simplifying
y = 8

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