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

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


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

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

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

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

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

Combine like terms: 10 + -2 = 8
40 + 6y = 8 + 2Y

Solving
40 + 6y = 8 + 2Y

Solving for variable 'y'.

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

Add '-40' to each side of the equation.
40 + -40 + 6y = 8 + -40 + 2Y

Combine like terms: 40 + -40 = 0
0 + 6y = 8 + -40 + 2Y
6y = 8 + -40 + 2Y

Combine like terms: 8 + -40 = -32
6y = -32 + 2Y

Divide each side by '6'.
y = -5.333333333 + 0.3333333333Y

Simplifying
y = -5.333333333 + 0.3333333333Y

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