(-9y+5)-8(-y-2)=20

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Solution for (-9y+5)-8(-y-2)=20 equation:


Simplifying
(-9y + 5) + -8(-1y + -2) = 20

Reorder the terms:
(5 + -9y) + -8(-1y + -2) = 20

Remove parenthesis around (5 + -9y)
5 + -9y + -8(-1y + -2) = 20

Reorder the terms:
5 + -9y + -8(-2 + -1y) = 20
5 + -9y + (-2 * -8 + -1y * -8) = 20
5 + -9y + (16 + 8y) = 20

Reorder the terms:
5 + 16 + -9y + 8y = 20

Combine like terms: 5 + 16 = 21
21 + -9y + 8y = 20

Combine like terms: -9y + 8y = -1y
21 + -1y = 20

Solving
21 + -1y = 20

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 = 20 + -21

Combine like terms: 21 + -21 = 0
0 + -1y = 20 + -21
-1y = 20 + -21

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

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

Simplifying
y = 1

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