3y+7=y+13

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Solution for 3y+7=y+13 equation:


Simplifying
3y + 7 = y + 13

Reorder the terms:
7 + 3y = y + 13

Reorder the terms:
7 + 3y = 13 + y

Solving
7 + 3y = 13 + 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.
7 + 3y + -1y = 13 + y + -1y

Combine like terms: 3y + -1y = 2y
7 + 2y = 13 + y + -1y

Combine like terms: y + -1y = 0
7 + 2y = 13 + 0
7 + 2y = 13

Add '-7' to each side of the equation.
7 + -7 + 2y = 13 + -7

Combine like terms: 7 + -7 = 0
0 + 2y = 13 + -7
2y = 13 + -7

Combine like terms: 13 + -7 = 6
2y = 6

Divide each side by '2'.
y = 3

Simplifying
y = 3

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