3y+10=5y+13

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Solution for 3y+10=5y+13 equation: 


Simplifying
3y + 10 = 5y + 13

Reorder the terms:
10 + 3y = 5y + 13

Reorder the terms:
10 + 3y = 13 + 5y

Solving
10 + 3y = 13 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
10 + 3y + -5y = 13 + 5y + -5y

Combine like terms: 3y + -5y = -2y
10 + -2y = 13 + 5y + -5y

Combine like terms: 5y + -5y = 0
10 + -2y = 13 + 0
10 + -2y = 13

Add '-10' to each side of the equation.
10 + -10 + -2y = 13 + -10

Combine like terms: 10 + -10 = 0
0 + -2y = 13 + -10
-2y = 13 + -10

Combine like terms: 13 + -10 = 3
-2y = 3

Divide each side by '-2'.
y = -1.5

Simplifying
y = -1.5

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