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Simplifying 5(3y + 3) + -18 = 17 + 5y Reorder the terms: 5(3 + 3y) + -18 = 17 + 5y (3 * 5 + 3y * 5) + -18 = 17 + 5y (15 + 15y) + -18 = 17 + 5y Reorder the terms: 15 + -18 + 15y = 17 + 5y Combine like terms: 15 + -18 = -3 -3 + 15y = 17 + 5y Solving -3 + 15y = 17 + 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. -3 + 15y + -5y = 17 + 5y + -5y Combine like terms: 15y + -5y = 10y -3 + 10y = 17 + 5y + -5y Combine like terms: 5y + -5y = 0 -3 + 10y = 17 + 0 -3 + 10y = 17 Add '3' to each side of the equation. -3 + 3 + 10y = 17 + 3 Combine like terms: -3 + 3 = 0 0 + 10y = 17 + 3 10y = 17 + 3 Combine like terms: 17 + 3 = 20 10y = 20 Divide each side by '10'. y = 2 Simplifying y = 2
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