-18y+2y+6=3(4y-2)-9

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Solution for -18y+2y+6=3(4y-2)-9 equation:


Simplifying
-18y + 2y + 6 = 3(4y + -2) + -9

Reorder the terms:
6 + -18y + 2y = 3(4y + -2) + -9

Combine like terms: -18y + 2y = -16y
6 + -16y = 3(4y + -2) + -9

Reorder the terms:
6 + -16y = 3(-2 + 4y) + -9
6 + -16y = (-2 * 3 + 4y * 3) + -9
6 + -16y = (-6 + 12y) + -9

Reorder the terms:
6 + -16y = -6 + -9 + 12y

Combine like terms: -6 + -9 = -15
6 + -16y = -15 + 12y

Solving
6 + -16y = -15 + 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.
6 + -16y + -12y = -15 + 12y + -12y

Combine like terms: -16y + -12y = -28y
6 + -28y = -15 + 12y + -12y

Combine like terms: 12y + -12y = 0
6 + -28y = -15 + 0
6 + -28y = -15

Add '-6' to each side of the equation.
6 + -6 + -28y = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -28y = -15 + -6
-28y = -15 + -6

Combine like terms: -15 + -6 = -21
-28y = -21

Divide each side by '-28'.
y = 0.75

Simplifying
y = 0.75

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