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

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


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

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

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

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

Remove parenthesis around (5 + y)
70 + 8y = 5 + y + -8

Reorder the terms:
70 + 8y = 5 + -8 + y

Combine like terms: 5 + -8 = -3
70 + 8y = -3 + y

Solving
70 + 8y = -3 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
70 + 8y + -1y = -3 + y + -1y

Combine like terms: 8y + -1y = 7y
70 + 7y = -3 + y + -1y

Combine like terms: y + -1y = 0
70 + 7y = -3 + 0
70 + 7y = -3

Add '-70' to each side of the equation.
70 + -70 + 7y = -3 + -70

Combine like terms: 70 + -70 = 0
0 + 7y = -3 + -70
7y = -3 + -70

Combine like terms: -3 + -70 = -73
7y = -73

Divide each side by '7'.
y = -10.42857143

Simplifying
y = -10.42857143

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