3y-4(6-y)=15-6y

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Solution for 3y-4(6-y)=15-6y equation:


Simplifying
3y + -4(6 + -1y) = 15 + -6y
3y + (6 * -4 + -1y * -4) = 15 + -6y
3y + (-24 + 4y) = 15 + -6y

Reorder the terms:
-24 + 3y + 4y = 15 + -6y

Combine like terms: 3y + 4y = 7y
-24 + 7y = 15 + -6y

Solving
-24 + 7y = 15 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
-24 + 7y + 6y = 15 + -6y + 6y

Combine like terms: 7y + 6y = 13y
-24 + 13y = 15 + -6y + 6y

Combine like terms: -6y + 6y = 0
-24 + 13y = 15 + 0
-24 + 13y = 15

Add '24' to each side of the equation.
-24 + 24 + 13y = 15 + 24

Combine like terms: -24 + 24 = 0
0 + 13y = 15 + 24
13y = 15 + 24

Combine like terms: 15 + 24 = 39
13y = 39

Divide each side by '13'.
y = 3

Simplifying
y = 3

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