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Simplifying 2(4 + -3y) + 5(y + 3) = 21 + 2y (4 * 2 + -3y * 2) + 5(y + 3) = 21 + 2y (8 + -6y) + 5(y + 3) = 21 + 2y Reorder the terms: 8 + -6y + 5(3 + y) = 21 + 2y 8 + -6y + (3 * 5 + y * 5) = 21 + 2y 8 + -6y + (15 + 5y) = 21 + 2y Reorder the terms: 8 + 15 + -6y + 5y = 21 + 2y Combine like terms: 8 + 15 = 23 23 + -6y + 5y = 21 + 2y Combine like terms: -6y + 5y = -1y 23 + -1y = 21 + 2y Solving 23 + -1y = 21 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 23 + -1y + -2y = 21 + 2y + -2y Combine like terms: -1y + -2y = -3y 23 + -3y = 21 + 2y + -2y Combine like terms: 2y + -2y = 0 23 + -3y = 21 + 0 23 + -3y = 21 Add '-23' to each side of the equation. 23 + -23 + -3y = 21 + -23 Combine like terms: 23 + -23 = 0 0 + -3y = 21 + -23 -3y = 21 + -23 Combine like terms: 21 + -23 = -2 -3y = -2 Divide each side by '-3'. y = 0.6666666667 Simplifying y = 0.6666666667
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