5(y-8)=3(y+24)

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Solution for 5(y-8)=3(y+24) equation:


Simplifying
5(y + -8) = 3(y + 24)

Reorder the terms:
5(-8 + y) = 3(y + 24)
(-8 * 5 + y * 5) = 3(y + 24)
(-40 + 5y) = 3(y + 24)

Reorder the terms:
-40 + 5y = 3(24 + y)
-40 + 5y = (24 * 3 + y * 3)
-40 + 5y = (72 + 3y)

Solving
-40 + 5y = 72 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-40 + 5y + -3y = 72 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-40 + 2y = 72 + 3y + -3y

Combine like terms: 3y + -3y = 0
-40 + 2y = 72 + 0
-40 + 2y = 72

Add '40' to each side of the equation.
-40 + 40 + 2y = 72 + 40

Combine like terms: -40 + 40 = 0
0 + 2y = 72 + 40
2y = 72 + 40

Combine like terms: 72 + 40 = 112
2y = 112

Divide each side by '2'.
y = 56

Simplifying
y = 56

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