50=-2(y-10)+7y

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Solution for 50=-2(y-10)+7y equation: 


Simplifying
50 = -2(y + -10) + 7y

Reorder the terms:
50 = -2(-10 + y) + 7y
50 = (-10 * -2 + y * -2) + 7y
50 = (20 + -2y) + 7y

Combine like terms: -2y + 7y = 5y
50 = 20 + 5y

Solving
50 = 20 + 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.
50 + -5y = 20 + 5y + -5y

Combine like terms: 5y + -5y = 0
50 + -5y = 20 + 0
50 + -5y = 20

Add '-50' to each side of the equation.
50 + -50 + -5y = 20 + -50

Combine like terms: 50 + -50 = 0
0 + -5y = 20 + -50
-5y = 20 + -50

Combine like terms: 20 + -50 = -30
-5y = -30

Divide each side by '-5'.
y = 6

Simplifying
y = 6

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