6y+6(4y-4)=-7-3(-6-y)

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Solution for 6y+6(4y-4)=-7-3(-6-y) equation:


Simplifying
6y + 6(4y + -4) = -7 + -3(-6 + -1y)

Reorder the terms:
6y + 6(-4 + 4y) = -7 + -3(-6 + -1y)
6y + (-4 * 6 + 4y * 6) = -7 + -3(-6 + -1y)
6y + (-24 + 24y) = -7 + -3(-6 + -1y)

Reorder the terms:
-24 + 6y + 24y = -7 + -3(-6 + -1y)

Combine like terms: 6y + 24y = 30y
-24 + 30y = -7 + -3(-6 + -1y)
-24 + 30y = -7 + (-6 * -3 + -1y * -3)
-24 + 30y = -7 + (18 + 3y)

Combine like terms: -7 + 18 = 11
-24 + 30y = 11 + 3y

Solving
-24 + 30y = 11 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-24 + 30y + -3y = 11 + 3y + -3y

Combine like terms: 30y + -3y = 27y
-24 + 27y = 11 + 3y + -3y

Combine like terms: 3y + -3y = 0
-24 + 27y = 11 + 0
-24 + 27y = 11

Add '24' to each side of the equation.
-24 + 24 + 27y = 11 + 24

Combine like terms: -24 + 24 = 0
0 + 27y = 11 + 24
27y = 11 + 24

Combine like terms: 11 + 24 = 35
27y = 35

Divide each side by '27'.
y = 1.296296296

Simplifying
y = 1.296296296

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