y-6(4-y)=-18-2y

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


Simplifying
y + -6(4 + -1y) = -18 + -2y
y + (4 * -6 + -1y * -6) = -18 + -2y
y + (-24 + 6y) = -18 + -2y

Reorder the terms:
-24 + y + 6y = -18 + -2y

Combine like terms: y + 6y = 7y
-24 + 7y = -18 + -2y

Solving
-24 + 7y = -18 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-24 + 7y + 2y = -18 + -2y + 2y

Combine like terms: 7y + 2y = 9y
-24 + 9y = -18 + -2y + 2y

Combine like terms: -2y + 2y = 0
-24 + 9y = -18 + 0
-24 + 9y = -18

Add '24' to each side of the equation.
-24 + 24 + 9y = -18 + 24

Combine like terms: -24 + 24 = 0
0 + 9y = -18 + 24
9y = -18 + 24

Combine like terms: -18 + 24 = 6
9y = 6

Divide each side by '9'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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