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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 = -1.2y 2 + -1.2y = 0.2(15 + -1y) 2 + -1.2y = (15 * 0.2 + -1y * 0.2) 2 + -1.2y = (3 + -0.2y) Solving 2 + -1.2y = 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 + -1.2y + 0.2y = 3 + -0.2y + 0.2y Combine like terms: -1.2y + 0.2y = -1y 2 + -1y = 3 + -0.2y + 0.2y Combine like terms: -0.2y + 0.2y = 0.0 2 + -1y = 3 + 0.0 2 + -1y = 3 Add '-2' to each side of the equation. 2 + -2 + -1y = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 3 + -2 -1y = 3 + -2 Combine like terms: 3 + -2 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1
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