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Simplifying 9(3y + -5) = 8(y + 11) Reorder the terms: 9(-5 + 3y) = 8(y + 11) (-5 * 9 + 3y * 9) = 8(y + 11) (-45 + 27y) = 8(y + 11) Reorder the terms: -45 + 27y = 8(11 + y) -45 + 27y = (11 * 8 + y * 8) -45 + 27y = (88 + 8y) Solving -45 + 27y = 88 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -45 + 27y + -8y = 88 + 8y + -8y Combine like terms: 27y + -8y = 19y -45 + 19y = 88 + 8y + -8y Combine like terms: 8y + -8y = 0 -45 + 19y = 88 + 0 -45 + 19y = 88 Add '45' to each side of the equation. -45 + 45 + 19y = 88 + 45 Combine like terms: -45 + 45 = 0 0 + 19y = 88 + 45 19y = 88 + 45 Combine like terms: 88 + 45 = 133 19y = 133 Divide each side by '19'. y = 7 Simplifying y = 7
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