2y+5(y-2)=7y-2(y-10)

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Solution for 2y+5(y-2)=7y-2(y-10) equation: 


Simplifying
2y + 5(y + -2) = 7y + -2(y + -10)

Reorder the terms:
2y + 5(-2 + y) = 7y + -2(y + -10)
2y + (-2 * 5 + y * 5) = 7y + -2(y + -10)
2y + (-10 + 5y) = 7y + -2(y + -10)

Reorder the terms:
-10 + 2y + 5y = 7y + -2(y + -10)

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

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

Reorder the terms:
-10 + 7y = 20 + 7y + -2y

Combine like terms: 7y + -2y = 5y
-10 + 7y = 20 + 5y

Solving
-10 + 7y = 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.
-10 + 7y + -5y = 20 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-10 + 2y = 20 + 5y + -5y

Combine like terms: 5y + -5y = 0
-10 + 2y = 20 + 0
-10 + 2y = 20

Add '10' to each side of the equation.
-10 + 10 + 2y = 20 + 10

Combine like terms: -10 + 10 = 0
0 + 2y = 20 + 10
2y = 20 + 10

Combine like terms: 20 + 10 = 30
2y = 30

Divide each side by '2'.
y = 15

Simplifying
y = 15

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