-3(y-5)=45-5y-12

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Solution for -3(y-5)=45-5y-12 equation: 


Simplifying
-3(y + -5) = 45 + -5y + -12

Reorder the terms:
-3(-5 + y) = 45 + -5y + -12
(-5 * -3 + y * -3) = 45 + -5y + -12
(15 + -3y) = 45 + -5y + -12

Reorder the terms:
15 + -3y = 45 + -12 + -5y

Combine like terms: 45 + -12 = 33
15 + -3y = 33 + -5y

Solving
15 + -3y = 33 + -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.
15 + -3y + 5y = 33 + -5y + 5y

Combine like terms: -3y + 5y = 2y
15 + 2y = 33 + -5y + 5y

Combine like terms: -5y + 5y = 0
15 + 2y = 33 + 0
15 + 2y = 33

Add '-15' to each side of the equation.
15 + -15 + 2y = 33 + -15

Combine like terms: 15 + -15 = 0
0 + 2y = 33 + -15
2y = 33 + -15

Combine like terms: 33 + -15 = 18
2y = 18

Divide each side by '2'.
y = 9

Simplifying
y = 9

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