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Simplifying 9(3y + -9) = 32y + 19 Reorder the terms: 9(-9 + 3y) = 32y + 19 (-9 * 9 + 3y * 9) = 32y + 19 (-81 + 27y) = 32y + 19 Reorder the terms: -81 + 27y = 19 + 32y Solving -81 + 27y = 19 + 32y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32y' to each side of the equation. -81 + 27y + -32y = 19 + 32y + -32y Combine like terms: 27y + -32y = -5y -81 + -5y = 19 + 32y + -32y Combine like terms: 32y + -32y = 0 -81 + -5y = 19 + 0 -81 + -5y = 19 Add '81' to each side of the equation. -81 + 81 + -5y = 19 + 81 Combine like terms: -81 + 81 = 0 0 + -5y = 19 + 81 -5y = 19 + 81 Combine like terms: 19 + 81 = 100 -5y = 100 Divide each side by '-5'. y = -20 Simplifying y = -20
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