7y+13=5y-3x

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Solution for 7y+13=5y-3x equation:


Simplifying
7y + 13 = 5y + -3x

Reorder the terms:
13 + 7y = 5y + -3x

Reorder the terms:
13 + 7y = -3x + 5y

Solving
13 + 7y = -3x + 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 + 7y + -5y = -3x + 5y + -5y

Combine like terms: 7y + -5y = 2y
13 + 2y = -3x + 5y + -5y

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

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

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

Divide each side by '2'.
y = -6.5 + -1.5x

Simplifying
y = -6.5 + -1.5x

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