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Simplifying 4 + -9(-2y + -3) = -5(2y + 3) + -2 Reorder the terms: 4 + -9(-3 + -2y) = -5(2y + 3) + -2 4 + (-3 * -9 + -2y * -9) = -5(2y + 3) + -2 4 + (27 + 18y) = -5(2y + 3) + -2 Combine like terms: 4 + 27 = 31 31 + 18y = -5(2y + 3) + -2 Reorder the terms: 31 + 18y = -5(3 + 2y) + -2 31 + 18y = (3 * -5 + 2y * -5) + -2 31 + 18y = (-15 + -10y) + -2 Reorder the terms: 31 + 18y = -15 + -2 + -10y Combine like terms: -15 + -2 = -17 31 + 18y = -17 + -10y Solving 31 + 18y = -17 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. 31 + 18y + 10y = -17 + -10y + 10y Combine like terms: 18y + 10y = 28y 31 + 28y = -17 + -10y + 10y Combine like terms: -10y + 10y = 0 31 + 28y = -17 + 0 31 + 28y = -17 Add '-31' to each side of the equation. 31 + -31 + 28y = -17 + -31 Combine like terms: 31 + -31 = 0 0 + 28y = -17 + -31 28y = -17 + -31 Combine like terms: -17 + -31 = -48 28y = -48 Divide each side by '28'. y = -1.714285714 Simplifying y = -1.714285714
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