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Simplifying 3(y + 5) = 3(3y + -2) Reorder the terms: 3(5 + y) = 3(3y + -2) (5 * 3 + y * 3) = 3(3y + -2) (15 + 3y) = 3(3y + -2) Reorder the terms: 15 + 3y = 3(-2 + 3y) 15 + 3y = (-2 * 3 + 3y * 3) 15 + 3y = (-6 + 9y) Solving 15 + 3y = -6 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 15 + 3y + -9y = -6 + 9y + -9y Combine like terms: 3y + -9y = -6y 15 + -6y = -6 + 9y + -9y Combine like terms: 9y + -9y = 0 15 + -6y = -6 + 0 15 + -6y = -6 Add '-15' to each side of the equation. 15 + -15 + -6y = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -6y = -6 + -15 -6y = -6 + -15 Combine like terms: -6 + -15 = -21 -6y = -21 Divide each side by '-6'. y = 3.5 Simplifying y = 3.5
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