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Simplifying 0.3(3y + 6) + -8 = -0.1(27y + -54) Reorder the terms: 0.3(6 + 3y) + -8 = -0.1(27y + -54) (6 * 0.3 + 3y * 0.3) + -8 = -0.1(27y + -54) (1.8 + 0.9y) + -8 = -0.1(27y + -54) Reorder the terms: 1.8 + -8 + 0.9y = -0.1(27y + -54) Combine like terms: 1.8 + -8 = -6.2 -6.2 + 0.9y = -0.1(27y + -54) Reorder the terms: -6.2 + 0.9y = -0.1(-54 + 27y) -6.2 + 0.9y = (-54 * -0.1 + 27y * -0.1) -6.2 + 0.9y = (5.4 + -2.7y) Solving -6.2 + 0.9y = 5.4 + -2.7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2.7y' to each side of the equation. -6.2 + 0.9y + 2.7y = 5.4 + -2.7y + 2.7y Combine like terms: 0.9y + 2.7y = 3.6y -6.2 + 3.6y = 5.4 + -2.7y + 2.7y Combine like terms: -2.7y + 2.7y = 0.0 -6.2 + 3.6y = 5.4 + 0.0 -6.2 + 3.6y = 5.4 Add '6.2' to each side of the equation. -6.2 + 6.2 + 3.6y = 5.4 + 6.2 Combine like terms: -6.2 + 6.2 = 0.0 0.0 + 3.6y = 5.4 + 6.2 3.6y = 5.4 + 6.2 Combine like terms: 5.4 + 6.2 = 11.6 3.6y = 11.6 Divide each side by '3.6'. y = 3.222222222 Simplifying y = 3.222222222
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