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Simplifying 5(y + 3) + y = 3(y + 2) + -4 Reorder the terms: 5(3 + y) + y = 3(y + 2) + -4 (3 * 5 + y * 5) + y = 3(y + 2) + -4 (15 + 5y) + y = 3(y + 2) + -4 Combine like terms: 5y + y = 6y 15 + 6y = 3(y + 2) + -4 Reorder the terms: 15 + 6y = 3(2 + y) + -4 15 + 6y = (2 * 3 + y * 3) + -4 15 + 6y = (6 + 3y) + -4 Reorder the terms: 15 + 6y = 6 + -4 + 3y Combine like terms: 6 + -4 = 2 15 + 6y = 2 + 3y Solving 15 + 6y = 2 + 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. 15 + 6y + -3y = 2 + 3y + -3y Combine like terms: 6y + -3y = 3y 15 + 3y = 2 + 3y + -3y Combine like terms: 3y + -3y = 0 15 + 3y = 2 + 0 15 + 3y = 2 Add '-15' to each side of the equation. 15 + -15 + 3y = 2 + -15 Combine like terms: 15 + -15 = 0 0 + 3y = 2 + -15 3y = 2 + -15 Combine like terms: 2 + -15 = -13 3y = -13 Divide each side by '3'. y = -4.333333333 Simplifying y = -4.333333333
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