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

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


Simplifying
0.3(9 + -2y) = 5(2 + -3y) + -50
(9 * 0.3 + -2y * 0.3) = 5(2 + -3y) + -50
(2.7 + -0.6y) = 5(2 + -3y) + -50
2.7 + -0.6y = (2 * 5 + -3y * 5) + -50
2.7 + -0.6y = (10 + -15y) + -50

Reorder the terms:
2.7 + -0.6y = 10 + -50 + -15y

Combine like terms: 10 + -50 = -40
2.7 + -0.6y = -40 + -15y

Solving
2.7 + -0.6y = -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.
2.7 + -0.6y + 15y = -40 + -15y + 15y

Combine like terms: -0.6y + 15y = 14.4y
2.7 + 14.4y = -40 + -15y + 15y

Combine like terms: -15y + 15y = 0
2.7 + 14.4y = -40 + 0
2.7 + 14.4y = -40

Add '-2.7' to each side of the equation.
2.7 + -2.7 + 14.4y = -40 + -2.7

Combine like terms: 2.7 + -2.7 = 0.0
0.0 + 14.4y = -40 + -2.7
14.4y = -40 + -2.7

Combine like terms: -40 + -2.7 = -42.7
14.4y = -42.7

Divide each side by '14.4'.
y = -2.965277778

Simplifying
y = -2.965277778

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