3y+13=5y-1

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


Simplifying
3y + 13 = 5y + -1

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

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

Solving
13 + 3y = -1 + 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.
13 + 3y + -5y = -1 + 5y + -5y

Combine like terms: 3y + -5y = -2y
13 + -2y = -1 + 5y + -5y

Combine like terms: 5y + -5y = 0
13 + -2y = -1 + 0
13 + -2y = -1

Add '-13' to each side of the equation.
13 + -13 + -2y = -1 + -13

Combine like terms: 13 + -13 = 0
0 + -2y = -1 + -13
-2y = -1 + -13

Combine like terms: -1 + -13 = -14
-2y = -14

Divide each side by '-2'.
y = 7

Simplifying
y = 7

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