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

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


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

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

Reorder the terms:
-24 + 4y = 3(6 + y)
-24 + 4y = (6 * 3 + y * 3)
-24 + 4y = (18 + 3y)

Solving
-24 + 4y = 18 + 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 + 4y + -3y = 18 + 3y + -3y

Combine like terms: 4y + -3y = 1y
-24 + 1y = 18 + 3y + -3y

Combine like terms: 3y + -3y = 0
-24 + 1y = 18 + 0
-24 + 1y = 18

Add '24' to each side of the equation.
-24 + 24 + 1y = 18 + 24

Combine like terms: -24 + 24 = 0
0 + 1y = 18 + 24
1y = 18 + 24

Combine like terms: 18 + 24 = 42
1y = 42

Divide each side by '1'.
y = 42

Simplifying
y = 42

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