-3(y-4)=-2y-6

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


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

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

Reorder the terms:
12 + -3y = -6 + -2y

Solving
12 + -3y = -6 + -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.
12 + -3y + 2y = -6 + -2y + 2y

Combine like terms: -3y + 2y = -1y
12 + -1y = -6 + -2y + 2y

Combine like terms: -2y + 2y = 0
12 + -1y = -6 + 0
12 + -1y = -6

Add '-12' to each side of the equation.
12 + -12 + -1y = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -1y = -6 + -12
-1y = -6 + -12

Combine like terms: -6 + -12 = -18
-1y = -18

Divide each side by '-1'.
y = 18

Simplifying
y = 18

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