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Simplifying 9(23 + -5y) = 8(5y + -6) (23 * 9 + -5y * 9) = 8(5y + -6) (207 + -45y) = 8(5y + -6) Reorder the terms: 207 + -45y = 8(-6 + 5y) 207 + -45y = (-6 * 8 + 5y * 8) 207 + -45y = (-48 + 40y) Solving 207 + -45y = -48 + 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. 207 + -45y + -40y = -48 + 40y + -40y Combine like terms: -45y + -40y = -85y 207 + -85y = -48 + 40y + -40y Combine like terms: 40y + -40y = 0 207 + -85y = -48 + 0 207 + -85y = -48 Add '-207' to each side of the equation. 207 + -207 + -85y = -48 + -207 Combine like terms: 207 + -207 = 0 0 + -85y = -48 + -207 -85y = -48 + -207 Combine like terms: -48 + -207 = -255 -85y = -255 Divide each side by '-85'. y = 3 Simplifying y = 3
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