-2y+45=5(y-5)

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Solution for -2y+45=5(y-5) equation: 


Simplifying
-2y + 45 = 5(y + -5)

Reorder the terms:
45 + -2y = 5(y + -5)

Reorder the terms:
45 + -2y = 5(-5 + y)
45 + -2y = (-5 * 5 + y * 5)
45 + -2y = (-25 + 5y)

Solving
45 + -2y = -25 + 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 + -2y + -5y = -25 + 5y + -5y

Combine like terms: -2y + -5y = -7y
45 + -7y = -25 + 5y + -5y

Combine like terms: 5y + -5y = 0
45 + -7y = -25 + 0
45 + -7y = -25

Add '-45' to each side of the equation.
45 + -45 + -7y = -25 + -45

Combine like terms: 45 + -45 = 0
0 + -7y = -25 + -45
-7y = -25 + -45

Combine like terms: -25 + -45 = -70
-7y = -70

Divide each side by '-7'.
y = 10

Simplifying
y = 10

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