5y+2(y-4)=7y-2(y-10)

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Solution for 5y+2(y-4)=7y-2(y-10) equation: 


Simplifying
5y + 2(y + -4) = 7y + -2(y + -10)

Reorder the terms:
5y + 2(-4 + y) = 7y + -2(y + -10)
5y + (-4 * 2 + y * 2) = 7y + -2(y + -10)
5y + (-8 + 2y) = 7y + -2(y + -10)

Reorder the terms:
-8 + 5y + 2y = 7y + -2(y + -10)

Combine like terms: 5y + 2y = 7y
-8 + 7y = 7y + -2(y + -10)

Reorder the terms:
-8 + 7y = 7y + -2(-10 + y)
-8 + 7y = 7y + (-10 * -2 + y * -2)
-8 + 7y = 7y + (20 + -2y)

Reorder the terms:
-8 + 7y = 20 + 7y + -2y

Combine like terms: 7y + -2y = 5y
-8 + 7y = 20 + 5y

Solving
-8 + 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.
-8 + 7y + -5y = 20 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-8 + 2y = 20 + 5y + -5y

Combine like terms: 5y + -5y = 0
-8 + 2y = 20 + 0
-8 + 2y = 20

Add '8' to each side of the equation.
-8 + 8 + 2y = 20 + 8

Combine like terms: -8 + 8 = 0
0 + 2y = 20 + 8
2y = 20 + 8

Combine like terms: 20 + 8 = 28
2y = 28

Divide each side by '2'.
y = 14

Simplifying
y = 14

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