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Simplifying 4y + 9 = -3(1 + -2y) + 5 Reorder the terms: 9 + 4y = -3(1 + -2y) + 5 9 + 4y = (1 * -3 + -2y * -3) + 5 9 + 4y = (-3 + 6y) + 5 Reorder the terms: 9 + 4y = -3 + 5 + 6y Combine like terms: -3 + 5 = 2 9 + 4y = 2 + 6y Solving 9 + 4y = 2 + 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. 9 + 4y + -6y = 2 + 6y + -6y Combine like terms: 4y + -6y = -2y 9 + -2y = 2 + 6y + -6y Combine like terms: 6y + -6y = 0 9 + -2y = 2 + 0 9 + -2y = 2 Add '-9' to each side of the equation. 9 + -9 + -2y = 2 + -9 Combine like terms: 9 + -9 = 0 0 + -2y = 2 + -9 -2y = 2 + -9 Combine like terms: 2 + -9 = -7 -2y = -7 Divide each side by '-2'. y = 3.5 Simplifying y = 3.5
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