5y-13=3(y+1)

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Solution for 5y-13=3(y+1) equation:


Simplifying
5y + -13 = 3(y + 1)

Reorder the terms:
-13 + 5y = 3(y + 1)

Reorder the terms:
-13 + 5y = 3(1 + y)
-13 + 5y = (1 * 3 + y * 3)
-13 + 5y = (3 + 3y)

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

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

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

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

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

Combine like terms: 3 + 13 = 16
2y = 16

Divide each side by '2'.
y = 8

Simplifying
y = 8

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