-5y+16=-8(y-5)

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Solution for -5y+16=-8(y-5) equation:


Simplifying
-5y + 16 = -8(y + -5)

Reorder the terms:
16 + -5y = -8(y + -5)

Reorder the terms:
16 + -5y = -8(-5 + y)
16 + -5y = (-5 * -8 + y * -8)
16 + -5y = (40 + -8y)

Solving
16 + -5y = 40 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
16 + -5y + 8y = 40 + -8y + 8y

Combine like terms: -5y + 8y = 3y
16 + 3y = 40 + -8y + 8y

Combine like terms: -8y + 8y = 0
16 + 3y = 40 + 0
16 + 3y = 40

Add '-16' to each side of the equation.
16 + -16 + 3y = 40 + -16

Combine like terms: 16 + -16 = 0
0 + 3y = 40 + -16
3y = 40 + -16

Combine like terms: 40 + -16 = 24
3y = 24

Divide each side by '3'.
y = 8

Simplifying
y = 8

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