8y-5(y-2)=24+y

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Solution for 8y-5(y-2)=24+y equation:


Simplifying
8y + -5(y + -2) = 24 + y

Reorder the terms:
8y + -5(-2 + y) = 24 + y
8y + (-2 * -5 + y * -5) = 24 + y
8y + (10 + -5y) = 24 + y

Reorder the terms:
10 + 8y + -5y = 24 + y

Combine like terms: 8y + -5y = 3y
10 + 3y = 24 + y

Solving
10 + 3y = 24 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
10 + 3y + -1y = 24 + y + -1y

Combine like terms: 3y + -1y = 2y
10 + 2y = 24 + y + -1y

Combine like terms: y + -1y = 0
10 + 2y = 24 + 0
10 + 2y = 24

Add '-10' to each side of the equation.
10 + -10 + 2y = 24 + -10

Combine like terms: 10 + -10 = 0
0 + 2y = 24 + -10
2y = 24 + -10

Combine like terms: 24 + -10 = 14
2y = 14

Divide each side by '2'.
y = 7

Simplifying
y = 7

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