8y-13=-5(y-5)

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Solution for 8y-13=-5(y-5) equation: 


Simplifying
8y + -13 = -5(y + -5)

Reorder the terms:
-13 + 8y = -5(y + -5)

Reorder the terms:
-13 + 8y = -5(-5 + y)
-13 + 8y = (-5 * -5 + y * -5)
-13 + 8y = (25 + -5y)

Solving
-13 + 8y = 25 + -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 + 8y + 5y = 25 + -5y + 5y

Combine like terms: 8y + 5y = 13y
-13 + 13y = 25 + -5y + 5y

Combine like terms: -5y + 5y = 0
-13 + 13y = 25 + 0
-13 + 13y = 25

Add '13' to each side of the equation.
-13 + 13 + 13y = 25 + 13

Combine like terms: -13 + 13 = 0
0 + 13y = 25 + 13
13y = 25 + 13

Combine like terms: 25 + 13 = 38
13y = 38

Divide each side by '13'.
y = 2.923076923

Simplifying
y = 2.923076923

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