7(y+10)+y=2(y+5)-8

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Solution for 7(y+10)+y=2(y+5)-8 equation: 


Simplifying
7(y + 10) + y = 2(y + 5) + -8

Reorder the terms:
7(10 + y) + y = 2(y + 5) + -8
(10 * 7 + y * 7) + y = 2(y + 5) + -8
(70 + 7y) + y = 2(y + 5) + -8

Combine like terms: 7y + y = 8y
70 + 8y = 2(y + 5) + -8

Reorder the terms:
70 + 8y = 2(5 + y) + -8
70 + 8y = (5 * 2 + y * 2) + -8
70 + 8y = (10 + 2y) + -8

Reorder the terms:
70 + 8y = 10 + -8 + 2y

Combine like terms: 10 + -8 = 2
70 + 8y = 2 + 2y

Solving
70 + 8y = 2 + 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.
70 + 8y + -2y = 2 + 2y + -2y

Combine like terms: 8y + -2y = 6y
70 + 6y = 2 + 2y + -2y

Combine like terms: 2y + -2y = 0
70 + 6y = 2 + 0
70 + 6y = 2

Add '-70' to each side of the equation.
70 + -70 + 6y = 2 + -70

Combine like terms: 70 + -70 = 0
0 + 6y = 2 + -70
6y = 2 + -70

Combine like terms: 2 + -70 = -68
6y = -68

Divide each side by '6'.
y = -11.33333333

Simplifying
y = -11.33333333

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