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 = 18y
11 + 18y = 35 + -5y + 5y

Combine like terms: -5y + 5y = 0
11 + 18y = 35 + 0
11 + 18y = 35

Add '-11' to each side of the equation.
11 + -11 + 18y = 35 + -11

Combine like terms: 11 + -11 = 0
0 + 18y = 35 + -11
18y = 35 + -11

Combine like terms: 35 + -11 = 24
18y = 24

Divide each side by '18'.
y = 1.333333333

Simplifying
y = 1.333333333

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