.33(9-2y)=5(2-3y)-50

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Solution for .33(9-2y)=5(2-3y)-50 equation: 


Simplifying
0.33(9 + -2y) = 5(2 + -3y) + -50
(9 * 0.33 + -2y * 0.33) = 5(2 + -3y) + -50
(2.97 + -0.66y) = 5(2 + -3y) + -50
2.97 + -0.66y = (2 * 5 + -3y * 5) + -50
2.97 + -0.66y = (10 + -15y) + -50

Reorder the terms:
2.97 + -0.66y = 10 + -50 + -15y

Combine like terms: 10 + -50 = -40
2.97 + -0.66y = -40 + -15y

Solving
2.97 + -0.66y = -40 + -15y

Solving for variable 'y'.

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

Add '15y' to each side of the equation.
2.97 + -0.66y + 15y = -40 + -15y + 15y

Combine like terms: -0.66y + 15y = 14.34y
2.97 + 14.34y = -40 + -15y + 15y

Combine like terms: -15y + 15y = 0
2.97 + 14.34y = -40 + 0
2.97 + 14.34y = -40

Add '-2.97' to each side of the equation.
2.97 + -2.97 + 14.34y = -40 + -2.97

Combine like terms: 2.97 + -2.97 = 0.00
0.00 + 14.34y = -40 + -2.97
14.34y = -40 + -2.97

Combine like terms: -40 + -2.97 = -42.97
14.34y = -42.97

Divide each side by '14.34'.
y = -2.99651325

Simplifying
y = -2.99651325

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