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Simplifying 1.5(3y + -2) + -1 = -8.7 + 5.1y + 4.3 Reorder the terms: 1.5(-2 + 3y) + -1 = -8.7 + 5.1y + 4.3 (-2 * 1.5 + 3y * 1.5) + -1 = -8.7 + 5.1y + 4.3 (-3 + 4.5y) + -1 = -8.7 + 5.1y + 4.3 Reorder the terms: -3 + -1 + 4.5y = -8.7 + 5.1y + 4.3 Combine like terms: -3 + -1 = -4 -4 + 4.5y = -8.7 + 5.1y + 4.3 Reorder the terms: -4 + 4.5y = -8.7 + 4.3 + 5.1y Combine like terms: -8.7 + 4.3 = -4.4 -4 + 4.5y = -4.4 + 5.1y Solving -4 + 4.5y = -4.4 + 5.1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5.1y' to each side of the equation. -4 + 4.5y + -5.1y = -4.4 + 5.1y + -5.1y Combine like terms: 4.5y + -5.1y = -0.6y -4 + -0.6y = -4.4 + 5.1y + -5.1y Combine like terms: 5.1y + -5.1y = 0.0 -4 + -0.6y = -4.4 + 0.0 -4 + -0.6y = -4.4 Add '4' to each side of the equation. -4 + 4 + -0.6y = -4.4 + 4 Combine like terms: -4 + 4 = 0 0 + -0.6y = -4.4 + 4 -0.6y = -4.4 + 4 Combine like terms: -4.4 + 4 = -0.4 -0.6y = -0.4 Divide each side by '-0.6'. y = 0.6666666667 Simplifying y = 0.6666666667
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