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

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


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

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

Combine like terms: 6y + y = 7y
24 + 7y = 3(y + 3) + 6

Reorder the terms:
24 + 7y = 3(3 + y) + 6
24 + 7y = (3 * 3 + y * 3) + 6
24 + 7y = (9 + 3y) + 6

Reorder the terms:
24 + 7y = 9 + 6 + 3y

Combine like terms: 9 + 6 = 15
24 + 7y = 15 + 3y

Solving
24 + 7y = 15 + 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 + 7y + -3y = 15 + 3y + -3y

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

Combine like terms: 3y + -3y = 0
24 + 4y = 15 + 0
24 + 4y = 15

Add '-24' to each side of the equation.
24 + -24 + 4y = 15 + -24

Combine like terms: 24 + -24 = 0
0 + 4y = 15 + -24
4y = 15 + -24

Combine like terms: 15 + -24 = -9
4y = -9

Divide each side by '4'.
y = -2.25

Simplifying
y = -2.25

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