13y+11=5(y-7)

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Solution for 13y+11=5(y-7) equation: 


Simplifying
13y + 11 = 5(y + -7)

Reorder the terms:
11 + 13y = 5(y + -7)

Reorder the terms:
11 + 13y = 5(-7 + y)
11 + 13y = (-7 * 5 + y * 5)
11 + 13y = (-35 + 5y)

Solving
11 + 13y = -35 + 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.
11 + 13y + -5y = -35 + 5y + -5y

Combine like terms: 13y + -5y = 8y
11 + 8y = -35 + 5y + -5y

Combine like terms: 5y + -5y = 0
11 + 8y = -35 + 0
11 + 8y = -35

Add '-11' to each side of the equation.
11 + -11 + 8y = -35 + -11

Combine like terms: 11 + -11 = 0
0 + 8y = -35 + -11
8y = -35 + -11

Combine like terms: -35 + -11 = -46
8y = -46

Divide each side by '8'.
y = -5.75

Simplifying
y = -5.75

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