40+3y-17=10y-12-2y

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Solution for 40+3y-17=10y-12-2y equation:


Simplifying
40 + 3y + -17 = 10y + -12 + -2y

Reorder the terms:
40 + -17 + 3y = 10y + -12 + -2y

Combine like terms: 40 + -17 = 23
23 + 3y = 10y + -12 + -2y

Reorder the terms:
23 + 3y = -12 + 10y + -2y

Combine like terms: 10y + -2y = 8y
23 + 3y = -12 + 8y

Solving
23 + 3y = -12 + 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.
23 + 3y + -8y = -12 + 8y + -8y

Combine like terms: 3y + -8y = -5y
23 + -5y = -12 + 8y + -8y

Combine like terms: 8y + -8y = 0
23 + -5y = -12 + 0
23 + -5y = -12

Add '-23' to each side of the equation.
23 + -23 + -5y = -12 + -23

Combine like terms: 23 + -23 = 0
0 + -5y = -12 + -23
-5y = -12 + -23

Combine like terms: -12 + -23 = -35
-5y = -35

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

Simplifying
y = 7

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