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Simplifying 0.5(3y + -4) + 0.3y = 0.2(15 + -1y) Reorder the terms: 0.5(-4 + 3y) + 0.3y = 0.2(15 + -1y) (-4 * 0.5 + 3y * 0.5) + 0.3y = 0.2(15 + -1y) (-2 + 1.5y) + 0.3y = 0.2(15 + -1y) Combine like terms: 1.5y + 0.3y = 1.8y -2 + 1.8y = 0.2(15 + -1y) -2 + 1.8y = (15 * 0.2 + -1y * 0.2) -2 + 1.8y = (3 + -0.2y) Solving -2 + 1.8y = 3 + -0.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.2y' to each side of the equation. -2 + 1.8y + 0.2y = 3 + -0.2y + 0.2y Combine like terms: 1.8y + 0.2y = 2y -2 + 2y = 3 + -0.2y + 0.2y Combine like terms: -0.2y + 0.2y = 0.0 -2 + 2y = 3 + 0.0 -2 + 2y = 3 Add '2' to each side of the equation. -2 + 2 + 2y = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 2y = 3 + 2 2y = 3 + 2 Combine like terms: 3 + 2 = 5 2y = 5 Divide each side by '2'. y = 2.5 Simplifying y = 2.5
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