10y-13=3y+8

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Solution for 10y-13=3y+8 equation:


Simplifying
10y + -13 = 3y + 8

Reorder the terms:
-13 + 10y = 3y + 8

Reorder the terms:
-13 + 10y = 8 + 3y

Solving
-13 + 10y = 8 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-13 + 10y + -3y = 8 + 3y + -3y

Combine like terms: 10y + -3y = 7y
-13 + 7y = 8 + 3y + -3y

Combine like terms: 3y + -3y = 0
-13 + 7y = 8 + 0
-13 + 7y = 8

Add '13' to each side of the equation.
-13 + 13 + 7y = 8 + 13

Combine like terms: -13 + 13 = 0
0 + 7y = 8 + 13
7y = 8 + 13

Combine like terms: 8 + 13 = 21
7y = 21

Divide each side by '7'.
y = 3

Simplifying
y = 3

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