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Simplifying 0.2(15y + 2) = 0.5(8y + -3) Reorder the terms: 0.2(2 + 15y) = 0.5(8y + -3) (2 * 0.2 + 15y * 0.2) = 0.5(8y + -3) (0.4 + 3y) = 0.5(8y + -3) Reorder the terms: 0.4 + 3y = 0.5(-3 + 8y) 0.4 + 3y = (-3 * 0.5 + 8y * 0.5) 0.4 + 3y = (-1.5 + 4y) Solving 0.4 + 3y = -1.5 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 0.4 + 3y + -4y = -1.5 + 4y + -4y Combine like terms: 3y + -4y = -1y 0.4 + -1y = -1.5 + 4y + -4y Combine like terms: 4y + -4y = 0 0.4 + -1y = -1.5 + 0 0.4 + -1y = -1.5 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -1y = -1.5 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -1y = -1.5 + -0.4 -1y = -1.5 + -0.4 Combine like terms: -1.5 + -0.4 = -1.9 -1y = -1.9 Divide each side by '-1'. y = 1.9 Simplifying y = 1.9
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