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Simplifying 5(2y + 9) = -45(y + -17) + -220 Reorder the terms: 5(9 + 2y) = -45(y + -17) + -220 (9 * 5 + 2y * 5) = -45(y + -17) + -220 (45 + 10y) = -45(y + -17) + -220 Reorder the terms: 45 + 10y = -45(-17 + y) + -220 45 + 10y = (-17 * -45 + y * -45) + -220 45 + 10y = (765 + -45y) + -220 Reorder the terms: 45 + 10y = 765 + -220 + -45y Combine like terms: 765 + -220 = 545 45 + 10y = 545 + -45y Solving 45 + 10y = 545 + -45y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '45y' to each side of the equation. 45 + 10y + 45y = 545 + -45y + 45y Combine like terms: 10y + 45y = 55y 45 + 55y = 545 + -45y + 45y Combine like terms: -45y + 45y = 0 45 + 55y = 545 + 0 45 + 55y = 545 Add '-45' to each side of the equation. 45 + -45 + 55y = 545 + -45 Combine like terms: 45 + -45 = 0 0 + 55y = 545 + -45 55y = 545 + -45 Combine like terms: 545 + -45 = 500 55y = 500 Divide each side by '55'. y = 9.090909091 Simplifying y = 9.090909091
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