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Simplifying 5(3y + 3) = 6 + -3(y + -3) Reorder the terms: 5(3 + 3y) = 6 + -3(y + -3) (3 * 5 + 3y * 5) = 6 + -3(y + -3) (15 + 15y) = 6 + -3(y + -3) Reorder the terms: 15 + 15y = 6 + -3(-3 + y) 15 + 15y = 6 + (-3 * -3 + y * -3) 15 + 15y = 6 + (9 + -3y) Combine like terms: 6 + 9 = 15 15 + 15y = 15 + -3y Add '-15' to each side of the equation. 15 + -15 + 15y = 15 + -15 + -3y Combine like terms: 15 + -15 = 0 0 + 15y = 15 + -15 + -3y 15y = 15 + -15 + -3y Combine like terms: 15 + -15 = 0 15y = 0 + -3y 15y = -3y Solving 15y = -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 15y + 3y = -3y + 3y Combine like terms: 15y + 3y = 18y 18y = -3y + 3y Combine like terms: -3y + 3y = 0 18y = 0 Divide each side by '18'. y = 0 Simplifying y = 0
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