-12y+45=5(y-8)

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Solution for -12y+45=5(y-8) equation: 


Simplifying
-12y + 45 = 5(y + -8)

Reorder the terms:
45 + -12y = 5(y + -8)

Reorder the terms:
45 + -12y = 5(-8 + y)
45 + -12y = (-8 * 5 + y * 5)
45 + -12y = (-40 + 5y)

Solving
45 + -12y = -40 + 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.
45 + -12y + -5y = -40 + 5y + -5y

Combine like terms: -12y + -5y = -17y
45 + -17y = -40 + 5y + -5y

Combine like terms: 5y + -5y = 0
45 + -17y = -40 + 0
45 + -17y = -40

Add '-45' to each side of the equation.
45 + -45 + -17y = -40 + -45

Combine like terms: 45 + -45 = 0
0 + -17y = -40 + -45
-17y = -40 + -45

Combine like terms: -40 + -45 = -85
-17y = -85

Divide each side by '-17'.
y = 5

Simplifying
y = 5

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