3y-10=y+30

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Solution for 3y-10=y+30 equation:


Simplifying
3y + -10 = y + 30

Reorder the terms:
-10 + 3y = y + 30

Reorder the terms:
-10 + 3y = 30 + y

Solving
-10 + 3y = 30 + 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.
-10 + 3y + -1y = 30 + y + -1y

Combine like terms: 3y + -1y = 2y
-10 + 2y = 30 + y + -1y

Combine like terms: y + -1y = 0
-10 + 2y = 30 + 0
-10 + 2y = 30

Add '10' to each side of the equation.
-10 + 10 + 2y = 30 + 10

Combine like terms: -10 + 10 = 0
0 + 2y = 30 + 10
2y = 30 + 10

Combine like terms: 30 + 10 = 40
2y = 40

Divide each side by '2'.
y = 20

Simplifying
y = 20

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