5(y-2)-8=-2(-9+3)-5y

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Solution for 5(y-2)-8=-2(-9+3)-5y equation: 


Simplifying
5(y + -2) + -8 = -2(-9 + 3) + -5y

Reorder the terms:
5(-2 + y) + -8 = -2(-9 + 3) + -5y
(-2 * 5 + y * 5) + -8 = -2(-9 + 3) + -5y
(-10 + 5y) + -8 = -2(-9 + 3) + -5y

Reorder the terms:
-10 + -8 + 5y = -2(-9 + 3) + -5y

Combine like terms: -10 + -8 = -18
-18 + 5y = -2(-9 + 3) + -5y

Combine like terms: -9 + 3 = -6
-18 + 5y = -2(-6) + -5y

Multiply -2 * -6
-18 + 5y = 12 + -5y

Solving
-18 + 5y = 12 + -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.
-18 + 5y + 5y = 12 + -5y + 5y

Combine like terms: 5y + 5y = 10y
-18 + 10y = 12 + -5y + 5y

Combine like terms: -5y + 5y = 0
-18 + 10y = 12 + 0
-18 + 10y = 12

Add '18' to each side of the equation.
-18 + 18 + 10y = 12 + 18

Combine like terms: -18 + 18 = 0
0 + 10y = 12 + 18
10y = 12 + 18

Combine like terms: 12 + 18 = 30
10y = 30

Divide each side by '10'.
y = 3

Simplifying
y = 3

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