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

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


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

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

Reorder the terms:
10 + 5y = 3(-8 + y)
10 + 5y = (-8 * 3 + y * 3)
10 + 5y = (-24 + 3y)

Solving
10 + 5y = -24 + 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 + 5y + -3y = -24 + 3y + -3y

Combine like terms: 5y + -3y = 2y
10 + 2y = -24 + 3y + -3y

Combine like terms: 3y + -3y = 0
10 + 2y = -24 + 0
10 + 2y = -24

Add '-10' to each side of the equation.
10 + -10 + 2y = -24 + -10

Combine like terms: 10 + -10 = 0
0 + 2y = -24 + -10
2y = -24 + -10

Combine like terms: -24 + -10 = -34
2y = -34

Divide each side by '2'.
y = -17

Simplifying
y = -17

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