8y+20.5=13(y-1)

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Solution for 8y+20.5=13(y-1) equation: 


Simplifying
8y + 20.5 = 13(y + -1)

Reorder the terms:
20.5 + 8y = 13(y + -1)

Reorder the terms:
20.5 + 8y = 13(-1 + y)
20.5 + 8y = (-1 * 13 + y * 13)
20.5 + 8y = (-13 + 13y)

Solving
20.5 + 8y = -13 + 13y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-13y' to each side of the equation.
20.5 + 8y + -13y = -13 + 13y + -13y

Combine like terms: 8y + -13y = -5y
20.5 + -5y = -13 + 13y + -13y

Combine like terms: 13y + -13y = 0
20.5 + -5y = -13 + 0
20.5 + -5y = -13

Add '-20.5' to each side of the equation.
20.5 + -20.5 + -5y = -13 + -20.5

Combine like terms: 20.5 + -20.5 = 0.0
0.0 + -5y = -13 + -20.5
-5y = -13 + -20.5

Combine like terms: -13 + -20.5 = -33.5
-5y = -33.5

Divide each side by '-5'.
y = 6.7

Simplifying
y = 6.7

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