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

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


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

Reorder the terms:
5(8 + y) + y = 2(y + 2) + 7
(8 * 5 + y * 5) + y = 2(y + 2) + 7
(40 + 5y) + y = 2(y + 2) + 7

Combine like terms: 5y + y = 6y
40 + 6y = 2(y + 2) + 7

Reorder the terms:
40 + 6y = 2(2 + y) + 7
40 + 6y = (2 * 2 + y * 2) + 7
40 + 6y = (4 + 2y) + 7

Reorder the terms:
40 + 6y = 4 + 7 + 2y

Combine like terms: 4 + 7 = 11
40 + 6y = 11 + 2y

Solving
40 + 6y = 11 + 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.
40 + 6y + -2y = 11 + 2y + -2y

Combine like terms: 6y + -2y = 4y
40 + 4y = 11 + 2y + -2y

Combine like terms: 2y + -2y = 0
40 + 4y = 11 + 0
40 + 4y = 11

Add '-40' to each side of the equation.
40 + -40 + 4y = 11 + -40

Combine like terms: 40 + -40 = 0
0 + 4y = 11 + -40
4y = 11 + -40

Combine like terms: 11 + -40 = -29
4y = -29

Divide each side by '4'.
y = -7.25

Simplifying
y = -7.25

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