-3y-1(5y-8)=-8+5(-3-y)

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Solution for -3y-1(5y-8)=-8+5(-3-y) equation:


Simplifying
-3y + -1(5y + -8) = -8 + 5(-3 + -1y)

Reorder the terms:
-3y + -1(-8 + 5y) = -8 + 5(-3 + -1y)
-3y + (-8 * -1 + 5y * -1) = -8 + 5(-3 + -1y)
-3y + (8 + -5y) = -8 + 5(-3 + -1y)

Reorder the terms:
8 + -3y + -5y = -8 + 5(-3 + -1y)

Combine like terms: -3y + -5y = -8y
8 + -8y = -8 + 5(-3 + -1y)
8 + -8y = -8 + (-3 * 5 + -1y * 5)
8 + -8y = -8 + (-15 + -5y)

Combine like terms: -8 + -15 = -23
8 + -8y = -23 + -5y

Solving
8 + -8y = -23 + -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.
8 + -8y + 5y = -23 + -5y + 5y

Combine like terms: -8y + 5y = -3y
8 + -3y = -23 + -5y + 5y

Combine like terms: -5y + 5y = 0
8 + -3y = -23 + 0
8 + -3y = -23

Add '-8' to each side of the equation.
8 + -8 + -3y = -23 + -8

Combine like terms: 8 + -8 = 0
0 + -3y = -23 + -8
-3y = -23 + -8

Combine like terms: -23 + -8 = -31
-3y = -31

Divide each side by '-3'.
y = 10.33333333

Simplifying
y = 10.33333333

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