30+2y-8=10y-13-3y

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Solution for 30+2y-8=10y-13-3y equation:


Simplifying
30 + 2y + -8 = 10y + -13 + -3y

Reorder the terms:
30 + -8 + 2y = 10y + -13 + -3y

Combine like terms: 30 + -8 = 22
22 + 2y = 10y + -13 + -3y

Reorder the terms:
22 + 2y = -13 + 10y + -3y

Combine like terms: 10y + -3y = 7y
22 + 2y = -13 + 7y

Solving
22 + 2y = -13 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
22 + 2y + -7y = -13 + 7y + -7y

Combine like terms: 2y + -7y = -5y
22 + -5y = -13 + 7y + -7y

Combine like terms: 7y + -7y = 0
22 + -5y = -13 + 0
22 + -5y = -13

Add '-22' to each side of the equation.
22 + -22 + -5y = -13 + -22

Combine like terms: 22 + -22 = 0
0 + -5y = -13 + -22
-5y = -13 + -22

Combine like terms: -13 + -22 = -35
-5y = -35

Divide each side by '-5'.
y = 7

Simplifying
y = 7

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