3(y+1)=5y+13

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


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

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

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

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

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

Combine like terms: 5y + -5y = 0
3 + -2y = 13 + 0
3 + -2y = 13

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

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

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

Divide each side by '-2'.
y = -5

Simplifying
y = -5

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