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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 = -57y 8 + -57y = 95 + -15y + 15y Combine like terms: -15y + 15y = 0 8 + -57y = 95 + 0 8 + -57y = 95 Add '-8' to each side of the equation. 8 + -8 + -57y = 95 + -8 Combine like terms: 8 + -8 = 0 0 + -57y = 95 + -8 -57y = 95 + -8 Combine like terms: 95 + -8 = 87 -57y = 87 Divide each side by '-57'. y = -1.526315789 Simplifying y = -1.526315789
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