5(y+2)-3(2y-6)=5y-8

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Solution for 5(y+2)-3(2y-6)=5y-8 equation: 


Simplifying
5(y + 2) + -3(2y + -6) = 5y + -8

Reorder the terms:
5(2 + y) + -3(2y + -6) = 5y + -8
(2 * 5 + y * 5) + -3(2y + -6) = 5y + -8
(10 + 5y) + -3(2y + -6) = 5y + -8

Reorder the terms:
10 + 5y + -3(-6 + 2y) = 5y + -8
10 + 5y + (-6 * -3 + 2y * -3) = 5y + -8
10 + 5y + (18 + -6y) = 5y + -8

Reorder the terms:
10 + 18 + 5y + -6y = 5y + -8

Combine like terms: 10 + 18 = 28
28 + 5y + -6y = 5y + -8

Combine like terms: 5y + -6y = -1y
28 + -1y = 5y + -8

Reorder the terms:
28 + -1y = -8 + 5y

Solving
28 + -1y = -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.
28 + -1y + -5y = -8 + 5y + -5y

Combine like terms: -1y + -5y = -6y
28 + -6y = -8 + 5y + -5y

Combine like terms: 5y + -5y = 0
28 + -6y = -8 + 0
28 + -6y = -8

Add '-28' to each side of the equation.
28 + -28 + -6y = -8 + -28

Combine like terms: 28 + -28 = 0
0 + -6y = -8 + -28
-6y = -8 + -28

Combine like terms: -8 + -28 = -36
-6y = -36

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

Simplifying
y = 6

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