5y+4=3y+13

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Solution for 5y+4=3y+13 equation:


Simplifying
5y + 4 = 3y + 13

Reorder the terms:
4 + 5y = 3y + 13

Reorder the terms:
4 + 5y = 13 + 3y

Solving
4 + 5y = 13 + 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.
4 + 5y + -3y = 13 + 3y + -3y

Combine like terms: 5y + -3y = 2y
4 + 2y = 13 + 3y + -3y

Combine like terms: 3y + -3y = 0
4 + 2y = 13 + 0
4 + 2y = 13

Add '-4' to each side of the equation.
4 + -4 + 2y = 13 + -4

Combine like terms: 4 + -4 = 0
0 + 2y = 13 + -4
2y = 13 + -4

Combine like terms: 13 + -4 = 9
2y = 9

Divide each side by '2'.
y = 4.5

Simplifying
y = 4.5

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