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

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


Simplifying
4(3y + -3) + -1y = -2(y + -3)

Reorder the terms:
4(-3 + 3y) + -1y = -2(y + -3)
(-3 * 4 + 3y * 4) + -1y = -2(y + -3)
(-12 + 12y) + -1y = -2(y + -3)

Combine like terms: 12y + -1y = 11y
-12 + 11y = -2(y + -3)

Reorder the terms:
-12 + 11y = -2(-3 + y)
-12 + 11y = (-3 * -2 + y * -2)
-12 + 11y = (6 + -2y)

Solving
-12 + 11y = 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 + 11y + 2y = 6 + -2y + 2y

Combine like terms: 11y + 2y = 13y
-12 + 13y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
-12 + 13y = 6 + 0
-12 + 13y = 6

Add '12' to each side of the equation.
-12 + 12 + 13y = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 13y = 6 + 12
13y = 6 + 12

Combine like terms: 6 + 12 = 18
13y = 18

Divide each side by '13'.
y = 1.384615385

Simplifying
y = 1.384615385

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