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

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


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

Reorder the terms:
24 + -3(-2 + y) = y + 8
24 + (-2 * -3 + y * -3) = y + 8
24 + (6 + -3y) = y + 8

Combine like terms: 24 + 6 = 30
30 + -3y = y + 8

Reorder the terms:
30 + -3y = 8 + y

Solving
30 + -3y = 8 + 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.
30 + -3y + -1y = 8 + y + -1y

Combine like terms: -3y + -1y = -4y
30 + -4y = 8 + y + -1y

Combine like terms: y + -1y = 0
30 + -4y = 8 + 0
30 + -4y = 8

Add '-30' to each side of the equation.
30 + -30 + -4y = 8 + -30

Combine like terms: 30 + -30 = 0
0 + -4y = 8 + -30
-4y = 8 + -30

Combine like terms: 8 + -30 = -22
-4y = -22

Divide each side by '-4'.
y = 5.5

Simplifying
y = 5.5

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