27+3y-5=10y-13-2y

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Solution for 27+3y-5=10y-13-2y equation:


Simplifying
27 + 3y + -5 = 10y + -13 + -2y

Reorder the terms:
27 + -5 + 3y = 10y + -13 + -2y

Combine like terms: 27 + -5 = 22
22 + 3y = 10y + -13 + -2y

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

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

Solving
22 + 3y = -13 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
22 + 3y + -8y = -13 + 8y + -8y

Combine like terms: 3y + -8y = -5y
22 + -5y = -13 + 8y + -8y

Combine like terms: 8y + -8y = 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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