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Simplifying 15(y + 2) = 5(2y + 3) Reorder the terms: 15(2 + y) = 5(2y + 3) (2 * 15 + y * 15) = 5(2y + 3) (30 + 15y) = 5(2y + 3) Reorder the terms: 30 + 15y = 5(3 + 2y) 30 + 15y = (3 * 5 + 2y * 5) 30 + 15y = (15 + 10y) Solving 30 + 15y = 15 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 30 + 15y + -10y = 15 + 10y + -10y Combine like terms: 15y + -10y = 5y 30 + 5y = 15 + 10y + -10y Combine like terms: 10y + -10y = 0 30 + 5y = 15 + 0 30 + 5y = 15 Add '-30' to each side of the equation. 30 + -30 + 5y = 15 + -30 Combine like terms: 30 + -30 = 0 0 + 5y = 15 + -30 5y = 15 + -30 Combine like terms: 15 + -30 = -15 5y = -15 Divide each side by '5'. y = -3 Simplifying y = -3
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