3y-5+2(y-5)=15+8y

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Solution for 3y-5+2(y-5)=15+8y equation: 


Simplifying
3y + -5 + 2(y + -5) = 15 + 8y

Reorder the terms:
3y + -5 + 2(-5 + y) = 15 + 8y
3y + -5 + (-5 * 2 + y * 2) = 15 + 8y
3y + -5 + (-10 + 2y) = 15 + 8y

Reorder the terms:
-5 + -10 + 3y + 2y = 15 + 8y

Combine like terms: -5 + -10 = -15
-15 + 3y + 2y = 15 + 8y

Combine like terms: 3y + 2y = 5y
-15 + 5y = 15 + 8y

Solving
-15 + 5y = 15 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-15 + 5y + -8y = 15 + 8y + -8y

Combine like terms: 5y + -8y = -3y
-15 + -3y = 15 + 8y + -8y

Combine like terms: 8y + -8y = 0
-15 + -3y = 15 + 0
-15 + -3y = 15

Add '15' to each side of the equation.
-15 + 15 + -3y = 15 + 15

Combine like terms: -15 + 15 = 0
0 + -3y = 15 + 15
-3y = 15 + 15

Combine like terms: 15 + 15 = 30
-3y = 30

Divide each side by '-3'.
y = -10

Simplifying
y = -10

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