-6y+48=3(4y-8)

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Solution for -6y+48=3(4y-8) equation:


Simplifying
-6y + 48 = 3(4y + -8)

Reorder the terms:
48 + -6y = 3(4y + -8)

Reorder the terms:
48 + -6y = 3(-8 + 4y)
48 + -6y = (-8 * 3 + 4y * 3)
48 + -6y = (-24 + 12y)

Solving
48 + -6y = -24 + 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.
48 + -6y + -12y = -24 + 12y + -12y

Combine like terms: -6y + -12y = -18y
48 + -18y = -24 + 12y + -12y

Combine like terms: 12y + -12y = 0
48 + -18y = -24 + 0
48 + -18y = -24

Add '-48' to each side of the equation.
48 + -48 + -18y = -24 + -48

Combine like terms: 48 + -48 = 0
0 + -18y = -24 + -48
-18y = -24 + -48

Combine like terms: -24 + -48 = -72
-18y = -72

Divide each side by '-18'.
y = 4

Simplifying
y = 4

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