7(y+5)+y=2(y+5)+7

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Solution for 7(y+5)+y=2(y+5)+7 equation: 


Simplifying
7(y + 5) + y = 2(y + 5) + 7

Reorder the terms:
7(5 + y) + y = 2(y + 5) + 7
(5 * 7 + y * 7) + y = 2(y + 5) + 7
(35 + 7y) + y = 2(y + 5) + 7

Combine like terms: 7y + y = 8y
35 + 8y = 2(y + 5) + 7

Reorder the terms:
35 + 8y = 2(5 + y) + 7
35 + 8y = (5 * 2 + y * 2) + 7
35 + 8y = (10 + 2y) + 7

Reorder the terms:
35 + 8y = 10 + 7 + 2y

Combine like terms: 10 + 7 = 17
35 + 8y = 17 + 2y

Solving
35 + 8y = 17 + 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.
35 + 8y + -2y = 17 + 2y + -2y

Combine like terms: 8y + -2y = 6y
35 + 6y = 17 + 2y + -2y

Combine like terms: 2y + -2y = 0
35 + 6y = 17 + 0
35 + 6y = 17

Add '-35' to each side of the equation.
35 + -35 + 6y = 17 + -35

Combine like terms: 35 + -35 = 0
0 + 6y = 17 + -35
6y = 17 + -35

Combine like terms: 17 + -35 = -18
6y = -18

Divide each side by '6'.
y = -3

Simplifying
y = -3

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