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

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


Simplifying
3y + 5(8 + -1y) = 24 + -1y
3y + (8 * 5 + -1y * 5) = 24 + -1y
3y + (40 + -5y) = 24 + -1y

Reorder the terms:
40 + 3y + -5y = 24 + -1y

Combine like terms: 3y + -5y = -2y
40 + -2y = 24 + -1y

Solving
40 + -2y = 24 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
40 + -2y + y = 24 + -1y + y

Combine like terms: -2y + y = -1y
40 + -1y = 24 + -1y + y

Combine like terms: -1y + y = 0
40 + -1y = 24 + 0
40 + -1y = 24

Add '-40' to each side of the equation.
40 + -40 + -1y = 24 + -40

Combine like terms: 40 + -40 = 0
0 + -1y = 24 + -40
-1y = 24 + -40

Combine like terms: 24 + -40 = -16
-1y = -16

Divide each side by '-1'.
y = 16

Simplifying
y = 16

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