-21.5-7y=-3(2y-8)

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Solution for -21.5-7y=-3(2y-8) equation: 


Simplifying
-21.5 + -7y = -3(2y + -8)

Reorder the terms:
-21.5 + -7y = -3(-8 + 2y)
-21.5 + -7y = (-8 * -3 + 2y * -3)
-21.5 + -7y = (24 + -6y)

Solving
-21.5 + -7y = 24 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
-21.5 + -7y + 6y = 24 + -6y + 6y

Combine like terms: -7y + 6y = -1y
-21.5 + -1y = 24 + -6y + 6y

Combine like terms: -6y + 6y = 0
-21.5 + -1y = 24 + 0
-21.5 + -1y = 24

Add '21.5' to each side of the equation.
-21.5 + 21.5 + -1y = 24 + 21.5

Combine like terms: -21.5 + 21.5 = 0.0
0.0 + -1y = 24 + 21.5
-1y = 24 + 21.5

Combine like terms: 24 + 21.5 = 45.5
-1y = 45.5

Divide each side by '-1'.
y = -45.5

Simplifying
y = -45.5

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