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

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


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

Reorder the terms:
6(3 + y) + y = 4(y + 4) + -2
(3 * 6 + y * 6) + y = 4(y + 4) + -2
(18 + 6y) + y = 4(y + 4) + -2

Combine like terms: 6y + y = 7y
18 + 7y = 4(y + 4) + -2

Reorder the terms:
18 + 7y = 4(4 + y) + -2
18 + 7y = (4 * 4 + y * 4) + -2
18 + 7y = (16 + 4y) + -2

Reorder the terms:
18 + 7y = 16 + -2 + 4y

Combine like terms: 16 + -2 = 14
18 + 7y = 14 + 4y

Solving
18 + 7y = 14 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
18 + 7y + -4y = 14 + 4y + -4y

Combine like terms: 7y + -4y = 3y
18 + 3y = 14 + 4y + -4y

Combine like terms: 4y + -4y = 0
18 + 3y = 14 + 0
18 + 3y = 14

Add '-18' to each side of the equation.
18 + -18 + 3y = 14 + -18

Combine like terms: 18 + -18 = 0
0 + 3y = 14 + -18
3y = 14 + -18

Combine like terms: 14 + -18 = -4
3y = -4

Divide each side by '3'.
y = -1.333333333

Simplifying
y = -1.333333333

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