(15-y)=10-(50+2y)

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Solution for (15-y)=10-(50+2y) equation:


Simplifying
(15 + -1y) = 10 + -1(50 + 2y)

Remove parenthesis around (15 + -1y)
15 + -1y = 10 + -1(50 + 2y)
15 + -1y = 10 + (50 * -1 + 2y * -1)
15 + -1y = 10 + (-50 + -2y)

Combine like terms: 10 + -50 = -40
15 + -1y = -40 + -2y

Solving
15 + -1y = -40 + -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.
15 + -1y + 2y = -40 + -2y + 2y

Combine like terms: -1y + 2y = 1y
15 + 1y = -40 + -2y + 2y

Combine like terms: -2y + 2y = 0
15 + 1y = -40 + 0
15 + 1y = -40

Add '-15' to each side of the equation.
15 + -15 + 1y = -40 + -15

Combine like terms: 15 + -15 = 0
0 + 1y = -40 + -15
1y = -40 + -15

Combine like terms: -40 + -15 = -55
1y = -55

Divide each side by '1'.
y = -55

Simplifying
y = -55

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