y+5-9y=-5(y-4)

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Solution for y+5-9y=-5(y-4) equation:


Simplifying
y + 5 + -9y = -5(y + -4)

Reorder the terms:
5 + y + -9y = -5(y + -4)

Combine like terms: y + -9y = -8y
5 + -8y = -5(y + -4)

Reorder the terms:
5 + -8y = -5(-4 + y)
5 + -8y = (-4 * -5 + y * -5)
5 + -8y = (20 + -5y)

Solving
5 + -8y = 20 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
5 + -8y + 5y = 20 + -5y + 5y

Combine like terms: -8y + 5y = -3y
5 + -3y = 20 + -5y + 5y

Combine like terms: -5y + 5y = 0
5 + -3y = 20 + 0
5 + -3y = 20

Add '-5' to each side of the equation.
5 + -5 + -3y = 20 + -5

Combine like terms: 5 + -5 = 0
0 + -3y = 20 + -5
-3y = 20 + -5

Combine like terms: 20 + -5 = 15
-3y = 15

Divide each side by '-3'.
y = -5

Simplifying
y = -5

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