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Simplifying 5(4 + y) = 2(3y + -2) + 21 (4 * 5 + y * 5) = 2(3y + -2) + 21 (20 + 5y) = 2(3y + -2) + 21 Reorder the terms: 20 + 5y = 2(-2 + 3y) + 21 20 + 5y = (-2 * 2 + 3y * 2) + 21 20 + 5y = (-4 + 6y) + 21 Reorder the terms: 20 + 5y = -4 + 21 + 6y Combine like terms: -4 + 21 = 17 20 + 5y = 17 + 6y Solving 20 + 5y = 17 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 20 + 5y + -6y = 17 + 6y + -6y Combine like terms: 5y + -6y = -1y 20 + -1y = 17 + 6y + -6y Combine like terms: 6y + -6y = 0 20 + -1y = 17 + 0 20 + -1y = 17 Add '-20' to each side of the equation. 20 + -20 + -1y = 17 + -20 Combine like terms: 20 + -20 = 0 0 + -1y = 17 + -20 -1y = 17 + -20 Combine like terms: 17 + -20 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3
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