24(y+2)=3(7y+8)

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Solution for 24(y+2)=3(7y+8) equation: 


Simplifying
24(y + 2) = 3(7y + 8)

Reorder the terms:
24(2 + y) = 3(7y + 8)
(2 * 24 + y * 24) = 3(7y + 8)
(48 + 24y) = 3(7y + 8)

Reorder the terms:
48 + 24y = 3(8 + 7y)
48 + 24y = (8 * 3 + 7y * 3)
48 + 24y = (24 + 21y)

Solving
48 + 24y = 24 + 21y

Solving for variable 'y'.

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

Add '-21y' to each side of the equation.
48 + 24y + -21y = 24 + 21y + -21y

Combine like terms: 24y + -21y = 3y
48 + 3y = 24 + 21y + -21y

Combine like terms: 21y + -21y = 0
48 + 3y = 24 + 0
48 + 3y = 24

Add '-48' to each side of the equation.
48 + -48 + 3y = 24 + -48

Combine like terms: 48 + -48 = 0
0 + 3y = 24 + -48
3y = 24 + -48

Combine like terms: 24 + -48 = -24
3y = -24

Divide each side by '3'.
y = -8

Simplifying
y = -8

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