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

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Solution for 4+3(y+6)=6(y-1) equation:


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

Reorder the terms:
4 + 3(6 + y) = 6(y + -1)
4 + (6 * 3 + y * 3) = 6(y + -1)
4 + (18 + 3y) = 6(y + -1)

Combine like terms: 4 + 18 = 22
22 + 3y = 6(y + -1)

Reorder the terms:
22 + 3y = 6(-1 + y)
22 + 3y = (-1 * 6 + y * 6)
22 + 3y = (-6 + 6y)

Solving
22 + 3y = -6 + 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.
22 + 3y + -6y = -6 + 6y + -6y

Combine like terms: 3y + -6y = -3y
22 + -3y = -6 + 6y + -6y

Combine like terms: 6y + -6y = 0
22 + -3y = -6 + 0
22 + -3y = -6

Add '-22' to each side of the equation.
22 + -22 + -3y = -6 + -22

Combine like terms: 22 + -22 = 0
0 + -3y = -6 + -22
-3y = -6 + -22

Combine like terms: -6 + -22 = -28
-3y = -28

Divide each side by '-3'.
y = 9.333333333

Simplifying
y = 9.333333333

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