5=3(y+5)-8y

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Solution for 5=3(y+5)-8y equation: 


Simplifying
5 = 3(y + 5) + -8y

Reorder the terms:
5 = 3(5 + y) + -8y
5 = (5 * 3 + y * 3) + -8y
5 = (15 + 3y) + -8y

Combine like terms: 3y + -8y = -5y
5 = 15 + -5y

Solving
5 = 15 + -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.
5 + 5y = 15 + -5y + 5y

Combine like terms: -5y + 5y = 0
5 + 5y = 15 + 0
5 + 5y = 15

Add '-5' to each side of the equation.
5 + -5 + 5y = 15 + -5

Combine like terms: 5 + -5 = 0
0 + 5y = 15 + -5
5y = 15 + -5

Combine like terms: 15 + -5 = 10
5y = 10

Divide each side by '5'.
y = 2

Simplifying
y = 2

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