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Simplifying 3(y + 5) = 5y + 9 Reorder the terms: 3(5 + y) = 5y + 9 (5 * 3 + y * 3) = 5y + 9 (15 + 3y) = 5y + 9 Reorder the terms: 15 + 3y = 9 + 5y Solving 15 + 3y = 9 + 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. 15 + 3y + -5y = 9 + 5y + -5y Combine like terms: 3y + -5y = -2y 15 + -2y = 9 + 5y + -5y Combine like terms: 5y + -5y = 0 15 + -2y = 9 + 0 15 + -2y = 9 Add '-15' to each side of the equation. 15 + -15 + -2y = 9 + -15 Combine like terms: 15 + -15 = 0 0 + -2y = 9 + -15 -2y = 9 + -15 Combine like terms: 9 + -15 = -6 -2y = -6 Divide each side by '-2'. y = 3 Simplifying y = 3
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