10+(1-2y)=-5(2y-1)

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Solution for 10+(1-2y)=-5(2y-1) equation:


Simplifying
10 + (1 + -2y) = -5(2y + -1)

Remove parenthesis around (1 + -2y)
10 + 1 + -2y = -5(2y + -1)

Combine like terms: 10 + 1 = 11
11 + -2y = -5(2y + -1)

Reorder the terms:
11 + -2y = -5(-1 + 2y)
11 + -2y = (-1 * -5 + 2y * -5)
11 + -2y = (5 + -10y)

Solving
11 + -2y = 5 + -10y

Solving for variable 'y'.

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

Add '10y' to each side of the equation.
11 + -2y + 10y = 5 + -10y + 10y

Combine like terms: -2y + 10y = 8y
11 + 8y = 5 + -10y + 10y

Combine like terms: -10y + 10y = 0
11 + 8y = 5 + 0
11 + 8y = 5

Add '-11' to each side of the equation.
11 + -11 + 8y = 5 + -11

Combine like terms: 11 + -11 = 0
0 + 8y = 5 + -11
8y = 5 + -11

Combine like terms: 5 + -11 = -6
8y = -6

Divide each side by '8'.
y = -0.75

Simplifying
y = -0.75

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