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Simplifying 5(3y + 8) = -40(y + -1) + -440 Reorder the terms: 5(8 + 3y) = -40(y + -1) + -440 (8 * 5 + 3y * 5) = -40(y + -1) + -440 (40 + 15y) = -40(y + -1) + -440 Reorder the terms: 40 + 15y = -40(-1 + y) + -440 40 + 15y = (-1 * -40 + y * -40) + -440 40 + 15y = (40 + -40y) + -440 Reorder the terms: 40 + 15y = 40 + -440 + -40y Combine like terms: 40 + -440 = -400 40 + 15y = -400 + -40y Solving 40 + 15y = -400 + -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. 40 + 15y + 40y = -400 + -40y + 40y Combine like terms: 15y + 40y = 55y 40 + 55y = -400 + -40y + 40y Combine like terms: -40y + 40y = 0 40 + 55y = -400 + 0 40 + 55y = -400 Add '-40' to each side of the equation. 40 + -40 + 55y = -400 + -40 Combine like terms: 40 + -40 = 0 0 + 55y = -400 + -40 55y = -400 + -40 Combine like terms: -400 + -40 = -440 55y = -440 Divide each side by '55'. y = -8 Simplifying y = -8
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