5(y+8)+y=2(y+5)-4

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Solution for 5(y+8)+y=2(y+5)-4 equation:


Simplifying
5(y + 8) + y = 2(y + 5) + -4

Reorder the terms:
5(8 + y) + y = 2(y + 5) + -4
(8 * 5 + y * 5) + y = 2(y + 5) + -4
(40 + 5y) + y = 2(y + 5) + -4

Combine like terms: 5y + y = 6y
40 + 6y = 2(y + 5) + -4

Reorder the terms:
40 + 6y = 2(5 + y) + -4
40 + 6y = (5 * 2 + y * 2) + -4
40 + 6y = (10 + 2y) + -4

Reorder the terms:
40 + 6y = 10 + -4 + 2y

Combine like terms: 10 + -4 = 6
40 + 6y = 6 + 2y

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

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

Combine like terms: 2y + -2y = 0
40 + 4y = 6 + 0
40 + 4y = 6

Add '-40' to each side of the equation.
40 + -40 + 4y = 6 + -40

Combine like terms: 40 + -40 = 0
0 + 4y = 6 + -40
4y = 6 + -40

Combine like terms: 6 + -40 = -34
4y = -34

Divide each side by '4'.
y = -8.5

Simplifying
y = -8.5

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