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

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


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

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

Reorder the terms:
-12 + 4y = (6 + y)

Remove parenthesis around (6 + y)
-12 + 4y = 6 + y

Solving
-12 + 4y = 6 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-12 + 4y + -1y = 6 + y + -1y

Combine like terms: 4y + -1y = 3y
-12 + 3y = 6 + y + -1y

Combine like terms: y + -1y = 0
-12 + 3y = 6 + 0
-12 + 3y = 6

Add '12' to each side of the equation.
-12 + 12 + 3y = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 3y = 6 + 12
3y = 6 + 12

Combine like terms: 6 + 12 = 18
3y = 18

Divide each side by '3'.
y = 6

Simplifying
y = 6

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