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

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Solution for 6(y+5)+y=2(y+5)+7 equation:


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

Reorder the terms:
6(5 + y) + y = 2(y + 5) + 7
(5 * 6 + y * 6) + y = 2(y + 5) + 7
(30 + 6y) + y = 2(y + 5) + 7

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

Reorder the terms:
30 + 7y = 2(5 + y) + 7
30 + 7y = (5 * 2 + y * 2) + 7
30 + 7y = (10 + 2y) + 7

Reorder the terms:
30 + 7y = 10 + 7 + 2y

Combine like terms: 10 + 7 = 17
30 + 7y = 17 + 2y

Solving
30 + 7y = 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.
30 + 7y + -2y = 17 + 2y + -2y

Combine like terms: 7y + -2y = 5y
30 + 5y = 17 + 2y + -2y

Combine like terms: 2y + -2y = 0
30 + 5y = 17 + 0
30 + 5y = 17

Add '-30' to each side of the equation.
30 + -30 + 5y = 17 + -30

Combine like terms: 30 + -30 = 0
0 + 5y = 17 + -30
5y = 17 + -30

Combine like terms: 17 + -30 = -13
5y = -13

Divide each side by '5'.
y = -2.6

Simplifying
y = -2.6

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