15=5-(y+8)

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Solution for 15=5-(y+8) equation:


Simplifying
15 = 5 + -1(y + 8)

Reorder the terms:
15 = 5 + -1(8 + y)
15 = 5 + (8 * -1 + y * -1)
15 = 5 + (-8 + -1y)

Combine like terms: 5 + -8 = -3
15 = -3 + -1y

Solving
15 = -3 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
15 + y = -3 + -1y + y

Combine like terms: -1y + y = 0
15 + y = -3 + 0
15 + y = -3

Add '-15' to each side of the equation.
15 + -15 + y = -3 + -15

Combine like terms: 15 + -15 = 0
0 + y = -3 + -15
y = -3 + -15

Combine like terms: -3 + -15 = -18
y = -18

Simplifying
y = -18

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