5y+2(y-4)=8y-3(y-10)

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Solution for 5y+2(y-4)=8y-3(y-10) equation: 


Simplifying
5y + 2(y + -4) = 8y + -3(y + -10)

Reorder the terms:
5y + 2(-4 + y) = 8y + -3(y + -10)
5y + (-4 * 2 + y * 2) = 8y + -3(y + -10)
5y + (-8 + 2y) = 8y + -3(y + -10)

Reorder the terms:
-8 + 5y + 2y = 8y + -3(y + -10)

Combine like terms: 5y + 2y = 7y
-8 + 7y = 8y + -3(y + -10)

Reorder the terms:
-8 + 7y = 8y + -3(-10 + y)
-8 + 7y = 8y + (-10 * -3 + y * -3)
-8 + 7y = 8y + (30 + -3y)

Reorder the terms:
-8 + 7y = 30 + 8y + -3y

Combine like terms: 8y + -3y = 5y
-8 + 7y = 30 + 5y

Solving
-8 + 7y = 30 + 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 = 30 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-8 + 2y = 30 + 5y + -5y

Combine like terms: 5y + -5y = 0
-8 + 2y = 30 + 0
-8 + 2y = 30

Add '8' to each side of the equation.
-8 + 8 + 2y = 30 + 8

Combine like terms: -8 + 8 = 0
0 + 2y = 30 + 8
2y = 30 + 8

Combine like terms: 30 + 8 = 38
2y = 38

Divide each side by '2'.
y = 19

Simplifying
y = 19

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