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Simplifying 5(9 + -3y) = 5y + -15 (9 * 5 + -3y * 5) = 5y + -15 (45 + -15y) = 5y + -15 Reorder the terms: 45 + -15y = -15 + 5y Solving 45 + -15y = -15 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 45 + -15y + -5y = -15 + 5y + -5y Combine like terms: -15y + -5y = -20y 45 + -20y = -15 + 5y + -5y Combine like terms: 5y + -5y = 0 45 + -20y = -15 + 0 45 + -20y = -15 Add '-45' to each side of the equation. 45 + -45 + -20y = -15 + -45 Combine like terms: 45 + -45 = 0 0 + -20y = -15 + -45 -20y = -15 + -45 Combine like terms: -15 + -45 = -60 -20y = -60 Divide each side by '-20'. y = 3 Simplifying y = 3
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