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Simplifying 23 + 4(y + -5) = 2(3 + -1y) Reorder the terms: 23 + 4(-5 + y) = 2(3 + -1y) 23 + (-5 * 4 + y * 4) = 2(3 + -1y) 23 + (-20 + 4y) = 2(3 + -1y) Combine like terms: 23 + -20 = 3 3 + 4y = 2(3 + -1y) 3 + 4y = (3 * 2 + -1y * 2) 3 + 4y = (6 + -2y) Solving 3 + 4y = 6 + -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. 3 + 4y + 2y = 6 + -2y + 2y Combine like terms: 4y + 2y = 6y 3 + 6y = 6 + -2y + 2y Combine like terms: -2y + 2y = 0 3 + 6y = 6 + 0 3 + 6y = 6 Add '-3' to each side of the equation. 3 + -3 + 6y = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 6y = 6 + -3 6y = 6 + -3 Combine like terms: 6 + -3 = 3 6y = 3 Divide each side by '6'. y = 0.5 Simplifying y = 0.5
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