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Simplifying 8(3y + -5) + 9(4 + y) = 194 Reorder the terms: 8(-5 + 3y) + 9(4 + y) = 194 (-5 * 8 + 3y * 8) + 9(4 + y) = 194 (-40 + 24y) + 9(4 + y) = 194 -40 + 24y + (4 * 9 + y * 9) = 194 -40 + 24y + (36 + 9y) = 194 Reorder the terms: -40 + 36 + 24y + 9y = 194 Combine like terms: -40 + 36 = -4 -4 + 24y + 9y = 194 Combine like terms: 24y + 9y = 33y -4 + 33y = 194 Solving -4 + 33y = 194 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 33y = 194 + 4 Combine like terms: -4 + 4 = 0 0 + 33y = 194 + 4 33y = 194 + 4 Combine like terms: 194 + 4 = 198 33y = 198 Divide each side by '33'. y = 6 Simplifying y = 6
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