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Simplifying 5(24 + 16) + -9 = -8(5y + -45) Combine like terms: 24 + 16 = 40 5(40) + -9 = -8(5y + -45) Multiply 5 * 40 200 + -9 = -8(5y + -45) Combine like terms: 200 + -9 = 191 191 = -8(5y + -45) Reorder the terms: 191 = -8(-45 + 5y) 191 = (-45 * -8 + 5y * -8) 191 = (360 + -40y) Solving 191 = 360 + -40y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '40y' to each side of the equation. 191 + 40y = 360 + -40y + 40y Combine like terms: -40y + 40y = 0 191 + 40y = 360 + 0 191 + 40y = 360 Add '-191' to each side of the equation. 191 + -191 + 40y = 360 + -191 Combine like terms: 191 + -191 = 0 0 + 40y = 360 + -191 40y = 360 + -191 Combine like terms: 360 + -191 = 169 40y = 169 Divide each side by '40'. y = 4.225 Simplifying y = 4.225
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