9y+5=8y+13

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Solution for 9y+5=8y+13 equation:


Simplifying
9y + 5 = 8y + 13

Reorder the terms:
5 + 9y = 8y + 13

Reorder the terms:
5 + 9y = 13 + 8y

Solving
5 + 9y = 13 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
5 + 9y + -8y = 13 + 8y + -8y

Combine like terms: 9y + -8y = 1y
5 + 1y = 13 + 8y + -8y

Combine like terms: 8y + -8y = 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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