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Simplifying 8(1 + -9y) = 5(19 + 3y) (1 * 8 + -9y * 8) = 5(19 + 3y) (8 + -72y) = 5(19 + 3y) 8 + -72y = (19 * 5 + 3y * 5) 8 + -72y = (95 + 15y) Solving 8 + -72y = 95 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 8 + -72y + -15y = 95 + 15y + -15y Combine like terms: -72y + -15y = -87y 8 + -87y = 95 + 15y + -15y Combine like terms: 15y + -15y = 0 8 + -87y = 95 + 0 8 + -87y = 95 Add '-8' to each side of the equation. 8 + -8 + -87y = 95 + -8 Combine like terms: 8 + -8 = 0 0 + -87y = 95 + -8 -87y = 95 + -8 Combine like terms: 95 + -8 = 87 -87y = 87 Divide each side by '-87'. y = -1 Simplifying y = -1
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