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

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


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

Reorder the terms:
5(7 + y) + y = 2(y + 5) + 6
(7 * 5 + y * 5) + y = 2(y + 5) + 6
(35 + 5y) + y = 2(y + 5) + 6

Combine like terms: 5y + y = 6y
35 + 6y = 2(y + 5) + 6

Reorder the terms:
35 + 6y = 2(5 + y) + 6
35 + 6y = (5 * 2 + y * 2) + 6
35 + 6y = (10 + 2y) + 6

Reorder the terms:
35 + 6y = 10 + 6 + 2y

Combine like terms: 10 + 6 = 16
35 + 6y = 16 + 2y

Solving
35 + 6y = 16 + 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 + 6y + -2y = 16 + 2y + -2y

Combine like terms: 6y + -2y = 4y
35 + 4y = 16 + 2y + -2y

Combine like terms: 2y + -2y = 0
35 + 4y = 16 + 0
35 + 4y = 16

Add '-35' to each side of the equation.
35 + -35 + 4y = 16 + -35

Combine like terms: 35 + -35 = 0
0 + 4y = 16 + -35
4y = 16 + -35

Combine like terms: 16 + -35 = -19
4y = -19

Divide each side by '4'.
y = -4.75

Simplifying
y = -4.75

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