5y+1=3y-13

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


Simplifying
5y + 1 = 3y + -13

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

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

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

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

Combine like terms: 3y + -3y = 0
1 + 2y = -13 + 0
1 + 2y = -13

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

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

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

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

Simplifying
y = -7

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