3y-8=10y-22

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Solution for 3y-8=10y-22 equation:


Simplifying
3y + -8 = 10y + -22

Reorder the terms:
-8 + 3y = 10y + -22

Reorder the terms:
-8 + 3y = -22 + 10y

Solving
-8 + 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.
-8 + 3y + -10y = -22 + 10y + -10y

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

Combine like terms: 10y + -10y = 0
-8 + -7y = -22 + 0
-8 + -7y = -22

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

Combine like terms: -8 + 8 = 0
0 + -7y = -22 + 8
-7y = -22 + 8

Combine like terms: -22 + 8 = -14
-7y = -14

Divide each side by '-7'.
y = 2

Simplifying
y = 2

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