-5y+40=-3(y-8)

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Solution for -5y+40=-3(y-8) equation: 


Simplifying
-5y + 40 = -3(y + -8)

Reorder the terms:
40 + -5y = -3(y + -8)

Reorder the terms:
40 + -5y = -3(-8 + y)
40 + -5y = (-8 * -3 + y * -3)
40 + -5y = (24 + -3y)

Solving
40 + -5y = 24 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
40 + -5y + 3y = 24 + -3y + 3y

Combine like terms: -5y + 3y = -2y
40 + -2y = 24 + -3y + 3y

Combine like terms: -3y + 3y = 0
40 + -2y = 24 + 0
40 + -2y = 24

Add '-40' to each side of the equation.
40 + -40 + -2y = 24 + -40

Combine like terms: 40 + -40 = 0
0 + -2y = 24 + -40
-2y = 24 + -40

Combine like terms: 24 + -40 = -16
-2y = -16

Divide each side by '-2'.
y = 8

Simplifying
y = 8

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