-7y+22=3y-8

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Solution for -7y+22=3y-8 equation:


Simplifying
-7y + 22 = 3y + -8

Reorder the terms:
22 + -7y = 3y + -8

Reorder the terms:
22 + -7y = -8 + 3y

Solving
22 + -7y = -8 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
22 + -7y + -3y = -8 + 3y + -3y

Combine like terms: -7y + -3y = -10y
22 + -10y = -8 + 3y + -3y

Combine like terms: 3y + -3y = 0
22 + -10y = -8 + 0
22 + -10y = -8

Add '-22' to each side of the equation.
22 + -22 + -10y = -8 + -22

Combine like terms: 22 + -22 = 0
0 + -10y = -8 + -22
-10y = -8 + -22

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

Divide each side by '-10'.
y = 3

Simplifying
y = 3

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