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Simplifying 3(2y + 5) + -8(y + -1) = 3y + 3 Reorder the terms: 3(5 + 2y) + -8(y + -1) = 3y + 3 (5 * 3 + 2y * 3) + -8(y + -1) = 3y + 3 (15 + 6y) + -8(y + -1) = 3y + 3 Reorder the terms: 15 + 6y + -8(-1 + y) = 3y + 3 15 + 6y + (-1 * -8 + y * -8) = 3y + 3 15 + 6y + (8 + -8y) = 3y + 3 Reorder the terms: 15 + 8 + 6y + -8y = 3y + 3 Combine like terms: 15 + 8 = 23 23 + 6y + -8y = 3y + 3 Combine like terms: 6y + -8y = -2y 23 + -2y = 3y + 3 Reorder the terms: 23 + -2y = 3 + 3y Solving 23 + -2y = 3 + 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. 23 + -2y + -3y = 3 + 3y + -3y Combine like terms: -2y + -3y = -5y 23 + -5y = 3 + 3y + -3y Combine like terms: 3y + -3y = 0 23 + -5y = 3 + 0 23 + -5y = 3 Add '-23' to each side of the equation. 23 + -23 + -5y = 3 + -23 Combine like terms: 23 + -23 = 0 0 + -5y = 3 + -23 -5y = 3 + -23 Combine like terms: 3 + -23 = -20 -5y = -20 Divide each side by '-5'. y = 4 Simplifying y = 4
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