4(y+3)+2y=(9y+6)-8

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Solution for 4(y+3)+2y=(9y+6)-8 equation:


Simplifying
4(y + 3) + 2y = (9y + 6) + -8

Reorder the terms:
4(3 + y) + 2y = (9y + 6) + -8
(3 * 4 + y * 4) + 2y = (9y + 6) + -8
(12 + 4y) + 2y = (9y + 6) + -8

Combine like terms: 4y + 2y = 6y
12 + 6y = (9y + 6) + -8

Reorder the terms:
12 + 6y = (6 + 9y) + -8

Remove parenthesis around (6 + 9y)
12 + 6y = 6 + 9y + -8

Reorder the terms:
12 + 6y = 6 + -8 + 9y

Combine like terms: 6 + -8 = -2
12 + 6y = -2 + 9y

Solving
12 + 6y = -2 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
12 + 6y + -9y = -2 + 9y + -9y

Combine like terms: 6y + -9y = -3y
12 + -3y = -2 + 9y + -9y

Combine like terms: 9y + -9y = 0
12 + -3y = -2 + 0
12 + -3y = -2

Add '-12' to each side of the equation.
12 + -12 + -3y = -2 + -12

Combine like terms: 12 + -12 = 0
0 + -3y = -2 + -12
-3y = -2 + -12

Combine like terms: -2 + -12 = -14
-3y = -14

Divide each side by '-3'.
y = 4.666666667

Simplifying
y = 4.666666667

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