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Simplifying (5.3y + -0.8) + -1(1.6 + -4.7y) = 2y + -1(y + -0.3) Reorder the terms: (-0.8 + 5.3y) + -1(1.6 + -4.7y) = 2y + -1(y + -0.3) Remove parenthesis around (-0.8 + 5.3y) -0.8 + 5.3y + -1(1.6 + -4.7y) = 2y + -1(y + -0.3) -0.8 + 5.3y + (1.6 * -1 + -4.7y * -1) = 2y + -1(y + -0.3) -0.8 + 5.3y + (-1.6 + 4.7y) = 2y + -1(y + -0.3) Reorder the terms: -0.8 + -1.6 + 5.3y + 4.7y = 2y + -1(y + -0.3) Combine like terms: -0.8 + -1.6 = -2.4 -2.4 + 5.3y + 4.7y = 2y + -1(y + -0.3) Combine like terms: 5.3y + 4.7y = 10y -2.4 + 10y = 2y + -1(y + -0.3) Reorder the terms: -2.4 + 10y = 2y + -1(-0.3 + y) -2.4 + 10y = 2y + (-0.3 * -1 + y * -1) -2.4 + 10y = 2y + (0.3 + -1y) Reorder the terms: -2.4 + 10y = 0.3 + 2y + -1y Combine like terms: 2y + -1y = 1y -2.4 + 10y = 0.3 + 1y Solving -2.4 + 10y = 0.3 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -2.4 + 10y + -1y = 0.3 + 1y + -1y Combine like terms: 10y + -1y = 9y -2.4 + 9y = 0.3 + 1y + -1y Combine like terms: 1y + -1y = 0 -2.4 + 9y = 0.3 + 0 -2.4 + 9y = 0.3 Add '2.4' to each side of the equation. -2.4 + 2.4 + 9y = 0.3 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 9y = 0.3 + 2.4 9y = 0.3 + 2.4 Combine like terms: 0.3 + 2.4 = 2.7 9y = 2.7 Divide each side by '9'. y = 0.3 Simplifying y = 0.3
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