-4(3y-6)+5y=5(y+6)

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Solution for -4(3y-6)+5y=5(y+6) equation:


Simplifying
-4(3y + -6) + 5y = 5(y + 6)

Reorder the terms:
-4(-6 + 3y) + 5y = 5(y + 6)
(-6 * -4 + 3y * -4) + 5y = 5(y + 6)
(24 + -12y) + 5y = 5(y + 6)

Combine like terms: -12y + 5y = -7y
24 + -7y = 5(y + 6)

Reorder the terms:
24 + -7y = 5(6 + y)
24 + -7y = (6 * 5 + y * 5)
24 + -7y = (30 + 5y)

Solving
24 + -7y = 30 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
24 + -7y + -5y = 30 + 5y + -5y

Combine like terms: -7y + -5y = -12y
24 + -12y = 30 + 5y + -5y

Combine like terms: 5y + -5y = 0
24 + -12y = 30 + 0
24 + -12y = 30

Add '-24' to each side of the equation.
24 + -24 + -12y = 30 + -24

Combine like terms: 24 + -24 = 0
0 + -12y = 30 + -24
-12y = 30 + -24

Combine like terms: 30 + -24 = 6
-12y = 6

Divide each side by '-12'.
y = -0.5

Simplifying
y = -0.5

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