3y+5=2y+13

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Solution for 3y+5=2y+13 equation:


Simplifying
3y + 5 = 2y + 13

Reorder the terms:
5 + 3y = 2y + 13

Reorder the terms:
5 + 3y = 13 + 2y

Solving
5 + 3y = 13 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
5 + 3y + -2y = 13 + 2y + -2y

Combine like terms: 3y + -2y = 1y
5 + 1y = 13 + 2y + -2y

Combine like terms: 2y + -2y = 0
5 + 1y = 13 + 0
5 + 1y = 13

Add '-5' to each side of the equation.
5 + -5 + 1y = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 1y = 13 + -5
1y = 13 + -5

Combine like terms: 13 + -5 = 8
1y = 8

Divide each side by '1'.
y = 8

Simplifying
y = 8

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