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Simplifying 5(2y + -3) = 9(y + 2) + -33 Reorder the terms: 5(-3 + 2y) = 9(y + 2) + -33 (-3 * 5 + 2y * 5) = 9(y + 2) + -33 (-15 + 10y) = 9(y + 2) + -33 Reorder the terms: -15 + 10y = 9(2 + y) + -33 -15 + 10y = (2 * 9 + y * 9) + -33 -15 + 10y = (18 + 9y) + -33 Reorder the terms: -15 + 10y = 18 + -33 + 9y Combine like terms: 18 + -33 = -15 -15 + 10y = -15 + 9y Add '15' to each side of the equation. -15 + 15 + 10y = -15 + 15 + 9y Combine like terms: -15 + 15 = 0 0 + 10y = -15 + 15 + 9y 10y = -15 + 15 + 9y Combine like terms: -15 + 15 = 0 10y = 0 + 9y 10y = 9y Solving 10y = 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 10y + -9y = 9y + -9y Combine like terms: 10y + -9y = 1y 1y = 9y + -9y Combine like terms: 9y + -9y = 0 1y = 0 Divide each side by '1'. y = 0 Simplifying y = 0
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