3y-20=10y+22

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Solution for 3y-20=10y+22 equation:


Simplifying
3y + -20 = 10y + 22

Reorder the terms:
-20 + 3y = 10y + 22

Reorder the terms:
-20 + 3y = 22 + 10y

Solving
-20 + 3y = 22 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-20 + 3y + -10y = 22 + 10y + -10y

Combine like terms: 3y + -10y = -7y
-20 + -7y = 22 + 10y + -10y

Combine like terms: 10y + -10y = 0
-20 + -7y = 22 + 0
-20 + -7y = 22

Add '20' to each side of the equation.
-20 + 20 + -7y = 22 + 20

Combine like terms: -20 + 20 = 0
0 + -7y = 22 + 20
-7y = 22 + 20

Combine like terms: 22 + 20 = 42
-7y = 42

Divide each side by '-7'.
y = -6

Simplifying
y = -6

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