4y-y+8=-24+6(9-2y)

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Solution for 4y-y+8=-24+6(9-2y) equation:


Simplifying
4y + -1y + 8 = -24 + 6(9 + -2y)

Reorder the terms:
8 + 4y + -1y = -24 + 6(9 + -2y)

Combine like terms: 4y + -1y = 3y
8 + 3y = -24 + 6(9 + -2y)
8 + 3y = -24 + (9 * 6 + -2y * 6)
8 + 3y = -24 + (54 + -12y)

Combine like terms: -24 + 54 = 30
8 + 3y = 30 + -12y

Solving
8 + 3y = 30 + -12y

Solving for variable 'y'.

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

Add '12y' to each side of the equation.
8 + 3y + 12y = 30 + -12y + 12y

Combine like terms: 3y + 12y = 15y
8 + 15y = 30 + -12y + 12y

Combine like terms: -12y + 12y = 0
8 + 15y = 30 + 0
8 + 15y = 30

Add '-8' to each side of the equation.
8 + -8 + 15y = 30 + -8

Combine like terms: 8 + -8 = 0
0 + 15y = 30 + -8
15y = 30 + -8

Combine like terms: 30 + -8 = 22
15y = 22

Divide each side by '15'.
y = 1.466666667

Simplifying
y = 1.466666667

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