2(5y+3)-5=-y-5(4-y)

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Solution for 2(5y+3)-5=-y-5(4-y) equation:


Simplifying
2(5y + 3) + -5 = -1y + -5(4 + -1y)

Reorder the terms:
2(3 + 5y) + -5 = -1y + -5(4 + -1y)
(3 * 2 + 5y * 2) + -5 = -1y + -5(4 + -1y)
(6 + 10y) + -5 = -1y + -5(4 + -1y)

Reorder the terms:
6 + -5 + 10y = -1y + -5(4 + -1y)

Combine like terms: 6 + -5 = 1
1 + 10y = -1y + -5(4 + -1y)
1 + 10y = -1y + (4 * -5 + -1y * -5)
1 + 10y = -1y + (-20 + 5y)

Reorder the terms:
1 + 10y = -20 + -1y + 5y

Combine like terms: -1y + 5y = 4y
1 + 10y = -20 + 4y

Solving
1 + 10y = -20 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
1 + 10y + -4y = -20 + 4y + -4y

Combine like terms: 10y + -4y = 6y
1 + 6y = -20 + 4y + -4y

Combine like terms: 4y + -4y = 0
1 + 6y = -20 + 0
1 + 6y = -20

Add '-1' to each side of the equation.
1 + -1 + 6y = -20 + -1

Combine like terms: 1 + -1 = 0
0 + 6y = -20 + -1
6y = -20 + -1

Combine like terms: -20 + -1 = -21
6y = -21

Divide each side by '6'.
y = -3.5

Simplifying
y = -3.5

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