3(5-y)-33=31y-6(3+4y)

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Solution for 3(5-y)-33=31y-6(3+4y) equation: 


Simplifying
3(5 + -1y) + -33 = 31y + -6(3 + 4y)
(5 * 3 + -1y * 3) + -33 = 31y + -6(3 + 4y)
(15 + -3y) + -33 = 31y + -6(3 + 4y)

Reorder the terms:
15 + -33 + -3y = 31y + -6(3 + 4y)

Combine like terms: 15 + -33 = -18
-18 + -3y = 31y + -6(3 + 4y)
-18 + -3y = 31y + (3 * -6 + 4y * -6)
-18 + -3y = 31y + (-18 + -24y)

Reorder the terms:
-18 + -3y = -18 + 31y + -24y

Combine like terms: 31y + -24y = 7y
-18 + -3y = -18 + 7y

Add '18' to each side of the equation.
-18 + 18 + -3y = -18 + 18 + 7y

Combine like terms: -18 + 18 = 0
0 + -3y = -18 + 18 + 7y
-3y = -18 + 18 + 7y

Combine like terms: -18 + 18 = 0
-3y = 0 + 7y
-3y = 7y

Solving
-3y = 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-3y + -7y = 7y + -7y

Combine like terms: -3y + -7y = -10y
-10y = 7y + -7y

Combine like terms: 7y + -7y = 0
-10y = 0

Divide each side by '-10'.
y = 0.0

Simplifying
y = 0.0

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