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

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Solution for 5(y+6)+y=2(y+2)+4 equation:


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

Reorder the terms:
5(6 + y) + y = 2(y + 2) + 4
(6 * 5 + y * 5) + y = 2(y + 2) + 4
(30 + 5y) + y = 2(y + 2) + 4

Combine like terms: 5y + y = 6y
30 + 6y = 2(y + 2) + 4

Reorder the terms:
30 + 6y = 2(2 + y) + 4
30 + 6y = (2 * 2 + y * 2) + 4
30 + 6y = (4 + 2y) + 4

Reorder the terms:
30 + 6y = 4 + 4 + 2y

Combine like terms: 4 + 4 = 8
30 + 6y = 8 + 2y

Solving
30 + 6y = 8 + 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.
30 + 6y + -2y = 8 + 2y + -2y

Combine like terms: 6y + -2y = 4y
30 + 4y = 8 + 2y + -2y

Combine like terms: 2y + -2y = 0
30 + 4y = 8 + 0
30 + 4y = 8

Add '-30' to each side of the equation.
30 + -30 + 4y = 8 + -30

Combine like terms: 30 + -30 = 0
0 + 4y = 8 + -30
4y = 8 + -30

Combine like terms: 8 + -30 = -22
4y = -22

Divide each side by '4'.
y = -5.5

Simplifying
y = -5.5

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