5.8y-(-2.4)=3(0.5-3.3y)

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Solution for 5.8y-(-2.4)=3(0.5-3.3y) equation: 


Simplifying
5.8y + -1(-2.4) = 3(0.5 + -3.3y)

Multiply -1 * -2.4
5.8y + 2.4 = 3(0.5 + -3.3y)

Reorder the terms:
2.4 + 5.8y = 3(0.5 + -3.3y)
2.4 + 5.8y = (0.5 * 3 + -3.3y * 3)
2.4 + 5.8y = (1.5 + -9.9y)

Solving
2.4 + 5.8y = 1.5 + -9.9y

Solving for variable 'y'.

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

Add '9.9y' to each side of the equation.
2.4 + 5.8y + 9.9y = 1.5 + -9.9y + 9.9y

Combine like terms: 5.8y + 9.9y = 15.7y
2.4 + 15.7y = 1.5 + -9.9y + 9.9y

Combine like terms: -9.9y + 9.9y = 0.0
2.4 + 15.7y = 1.5 + 0.0
2.4 + 15.7y = 1.5

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 15.7y = 1.5 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 15.7y = 1.5 + -2.4
15.7y = 1.5 + -2.4

Combine like terms: 1.5 + -2.4 = -0.9
15.7y = -0.9

Divide each side by '15.7'.
y = -0.05732484076

Simplifying
y = -0.05732484076

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