2(y+5)=5y-8

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


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

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

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

Solving
10 + 2y = -8 + 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.
10 + 2y + -5y = -8 + 5y + -5y

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

Combine like terms: 5y + -5y = 0
10 + -3y = -8 + 0
10 + -3y = -8

Add '-10' to each side of the equation.
10 + -10 + -3y = -8 + -10

Combine like terms: 10 + -10 = 0
0 + -3y = -8 + -10
-3y = -8 + -10

Combine like terms: -8 + -10 = -18
-3y = -18

Divide each side by '-3'.
y = 6

Simplifying
y = 6

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