6(y+4)+y=2(y+3)+4

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


Simplifying
6(y + 4) + y = 2(y + 3) + 4

Reorder the terms:
6(4 + y) + y = 2(y + 3) + 4
(4 * 6 + y * 6) + y = 2(y + 3) + 4
(24 + 6y) + y = 2(y + 3) + 4

Combine like terms: 6y + y = 7y
24 + 7y = 2(y + 3) + 4

Reorder the terms:
24 + 7y = 2(3 + y) + 4
24 + 7y = (3 * 2 + y * 2) + 4
24 + 7y = (6 + 2y) + 4

Reorder the terms:
24 + 7y = 6 + 4 + 2y

Combine like terms: 6 + 4 = 10
24 + 7y = 10 + 2y

Solving
24 + 7y = 10 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
24 + 7y + -2y = 10 + 2y + -2y

Combine like terms: 7y + -2y = 5y
24 + 5y = 10 + 2y + -2y

Combine like terms: 2y + -2y = 0
24 + 5y = 10 + 0
24 + 5y = 10

Add '-24' to each side of the equation.
24 + -24 + 5y = 10 + -24

Combine like terms: 24 + -24 = 0
0 + 5y = 10 + -24
5y = 10 + -24

Combine like terms: 10 + -24 = -14
5y = -14

Divide each side by '5'.
y = -2.8

Simplifying
y = -2.8

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