10=5(y-5)+2y

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Solution for 10=5(y-5)+2y equation: 


Simplifying
10 = 5(y + -5) + 2y

Reorder the terms:
10 = 5(-5 + y) + 2y
10 = (-5 * 5 + y * 5) + 2y
10 = (-25 + 5y) + 2y

Combine like terms: 5y + 2y = 7y
10 = -25 + 7y

Solving
10 = -25 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
10 + -7y = -25 + 7y + -7y

Combine like terms: 7y + -7y = 0
10 + -7y = -25 + 0
10 + -7y = -25

Add '-10' to each side of the equation.
10 + -10 + -7y = -25 + -10

Combine like terms: 10 + -10 = 0
0 + -7y = -25 + -10
-7y = -25 + -10

Combine like terms: -25 + -10 = -35
-7y = -35

Divide each side by '-7'.
y = 5

Simplifying
y = 5

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