3y-8=y+10

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


Simplifying
3y + -8 = y + 10

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

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

Solving
-8 + 3y = 10 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-8 + 3y + -1y = 10 + y + -1y

Combine like terms: 3y + -1y = 2y
-8 + 2y = 10 + y + -1y

Combine like terms: y + -1y = 0
-8 + 2y = 10 + 0
-8 + 2y = 10

Add '8' to each side of the equation.
-8 + 8 + 2y = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 2y = 10 + 8
2y = 10 + 8

Combine like terms: 10 + 8 = 18
2y = 18

Divide each side by '2'.
y = 9

Simplifying
y = 9

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