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

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


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

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

Combine like terms: 6y + y = 7y
30 + 7y = 4(y + 5) + 2

Reorder the terms:
30 + 7y = 4(5 + y) + 2
30 + 7y = (5 * 4 + y * 4) + 2
30 + 7y = (20 + 4y) + 2

Reorder the terms:
30 + 7y = 20 + 2 + 4y

Combine like terms: 20 + 2 = 22
30 + 7y = 22 + 4y

Solving
30 + 7y = 22 + 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.
30 + 7y + -4y = 22 + 4y + -4y

Combine like terms: 7y + -4y = 3y
30 + 3y = 22 + 4y + -4y

Combine like terms: 4y + -4y = 0
30 + 3y = 22 + 0
30 + 3y = 22

Add '-30' to each side of the equation.
30 + -30 + 3y = 22 + -30

Combine like terms: 30 + -30 = 0
0 + 3y = 22 + -30
3y = 22 + -30

Combine like terms: 22 + -30 = -8
3y = -8

Divide each side by '3'.
y = -2.666666667

Simplifying
y = -2.666666667

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