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

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


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

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

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

Combine like terms: 8 + -15 = -7
10 + 2y = -7 + 3y

Solving
10 + 2y = -7 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
10 + 2y + -3y = -7 + 3y + -3y

Combine like terms: 2y + -3y = -1y
10 + -1y = -7 + 3y + -3y

Combine like terms: 3y + -3y = 0
10 + -1y = -7 + 0
10 + -1y = -7

Add '-10' to each side of the equation.
10 + -10 + -1y = -7 + -10

Combine like terms: 10 + -10 = 0
0 + -1y = -7 + -10
-1y = -7 + -10

Combine like terms: -7 + -10 = -17
-1y = -17

Divide each side by '-1'.
y = 17

Simplifying
y = 17

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