(-9y+5)-8(-y-2)=24

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Solution for (-9y+5)-8(-y-2)=24 equation:


Simplifying
(-9y + 5) + -8(-1y + -2) = 24

Reorder the terms:
(5 + -9y) + -8(-1y + -2) = 24

Remove parenthesis around (5 + -9y)
5 + -9y + -8(-1y + -2) = 24

Reorder the terms:
5 + -9y + -8(-2 + -1y) = 24
5 + -9y + (-2 * -8 + -1y * -8) = 24
5 + -9y + (16 + 8y) = 24

Reorder the terms:
5 + 16 + -9y + 8y = 24

Combine like terms: 5 + 16 = 21
21 + -9y + 8y = 24

Combine like terms: -9y + 8y = -1y
21 + -1y = 24

Solving
21 + -1y = 24

Solving for variable 'y'.

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

Add '-21' to each side of the equation.
21 + -21 + -1y = 24 + -21

Combine like terms: 21 + -21 = 0
0 + -1y = 24 + -21
-1y = 24 + -21

Combine like terms: 24 + -21 = 3
-1y = 3

Divide each side by '-1'.
y = -3

Simplifying
y = -3

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