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Simplifying 5(8 + 9y) = 2(y + -23) (8 * 5 + 9y * 5) = 2(y + -23) (40 + 45y) = 2(y + -23) Reorder the terms: 40 + 45y = 2(-23 + y) 40 + 45y = (-23 * 2 + y * 2) 40 + 45y = (-46 + 2y) Solving 40 + 45y = -46 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 40 + 45y + -2y = -46 + 2y + -2y Combine like terms: 45y + -2y = 43y 40 + 43y = -46 + 2y + -2y Combine like terms: 2y + -2y = 0 40 + 43y = -46 + 0 40 + 43y = -46 Add '-40' to each side of the equation. 40 + -40 + 43y = -46 + -40 Combine like terms: 40 + -40 = 0 0 + 43y = -46 + -40 43y = -46 + -40 Combine like terms: -46 + -40 = -86 43y = -86 Divide each side by '43'. y = -2 Simplifying y = -2
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