18(y+3)=5(y-12)+10

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Solution for 18(y+3)=5(y-12)+10 equation: 


Simplifying
18(y + 3) = 5(y + -12) + 10

Reorder the terms:
18(3 + y) = 5(y + -12) + 10
(3 * 18 + y * 18) = 5(y + -12) + 10
(54 + 18y) = 5(y + -12) + 10

Reorder the terms:
54 + 18y = 5(-12 + y) + 10
54 + 18y = (-12 * 5 + y * 5) + 10
54 + 18y = (-60 + 5y) + 10

Reorder the terms:
54 + 18y = -60 + 10 + 5y

Combine like terms: -60 + 10 = -50
54 + 18y = -50 + 5y

Solving
54 + 18y = -50 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
54 + 18y + -5y = -50 + 5y + -5y

Combine like terms: 18y + -5y = 13y
54 + 13y = -50 + 5y + -5y

Combine like terms: 5y + -5y = 0
54 + 13y = -50 + 0
54 + 13y = -50

Add '-54' to each side of the equation.
54 + -54 + 13y = -50 + -54

Combine like terms: 54 + -54 = 0
0 + 13y = -50 + -54
13y = -50 + -54

Combine like terms: -50 + -54 = -104
13y = -104

Divide each side by '13'.
y = -8

Simplifying
y = -8

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