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Simplifying 9(4 + -1y) + 2 = -2(y + -4) + -3 (4 * 9 + -1y * 9) + 2 = -2(y + -4) + -3 (36 + -9y) + 2 = -2(y + -4) + -3 Reorder the terms: 36 + 2 + -9y = -2(y + -4) + -3 Combine like terms: 36 + 2 = 38 38 + -9y = -2(y + -4) + -3 Reorder the terms: 38 + -9y = -2(-4 + y) + -3 38 + -9y = (-4 * -2 + y * -2) + -3 38 + -9y = (8 + -2y) + -3 Reorder the terms: 38 + -9y = 8 + -3 + -2y Combine like terms: 8 + -3 = 5 38 + -9y = 5 + -2y Solving 38 + -9y = 5 + -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. 38 + -9y + 2y = 5 + -2y + 2y Combine like terms: -9y + 2y = -7y 38 + -7y = 5 + -2y + 2y Combine like terms: -2y + 2y = 0 38 + -7y = 5 + 0 38 + -7y = 5 Add '-38' to each side of the equation. 38 + -38 + -7y = 5 + -38 Combine like terms: 38 + -38 = 0 0 + -7y = 5 + -38 -7y = 5 + -38 Combine like terms: 5 + -38 = -33 -7y = -33 Divide each side by '-7'. y = 4.714285714 Simplifying y = 4.714285714
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