3y-10=22+7y

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Solution for 3y-10=22+7y equation:


Simplifying
3y + -10 = 22 + 7y

Reorder the terms:
-10 + 3y = 22 + 7y

Solving
-10 + 3y = 22 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-10 + 3y + -7y = 22 + 7y + -7y

Combine like terms: 3y + -7y = -4y
-10 + -4y = 22 + 7y + -7y

Combine like terms: 7y + -7y = 0
-10 + -4y = 22 + 0
-10 + -4y = 22

Add '10' to each side of the equation.
-10 + 10 + -4y = 22 + 10

Combine like terms: -10 + 10 = 0
0 + -4y = 22 + 10
-4y = 22 + 10

Combine like terms: 22 + 10 = 32
-4y = 32

Divide each side by '-4'.
y = -8

Simplifying
y = -8

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