y+13-7y=5(y-4)

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Solution for y+13-7y=5(y-4) equation: 


Simplifying
y + 13 + -7y = 5(y + -4)

Reorder the terms:
13 + y + -7y = 5(y + -4)

Combine like terms: y + -7y = -6y
13 + -6y = 5(y + -4)

Reorder the terms:
13 + -6y = 5(-4 + y)
13 + -6y = (-4 * 5 + y * 5)
13 + -6y = (-20 + 5y)

Solving
13 + -6y = -20 + 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 + -6y + -5y = -20 + 5y + -5y

Combine like terms: -6y + -5y = -11y
13 + -11y = -20 + 5y + -5y

Combine like terms: 5y + -5y = 0
13 + -11y = -20 + 0
13 + -11y = -20

Add '-13' to each side of the equation.
13 + -13 + -11y = -20 + -13

Combine like terms: 13 + -13 = 0
0 + -11y = -20 + -13
-11y = -20 + -13

Combine like terms: -20 + -13 = -33
-11y = -33

Divide each side by '-11'.
y = 3

Simplifying
y = 3

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