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Simplifying 5(2y + -1) = 3(3y + 2) Reorder the terms: 5(-1 + 2y) = 3(3y + 2) (-1 * 5 + 2y * 5) = 3(3y + 2) (-5 + 10y) = 3(3y + 2) Reorder the terms: -5 + 10y = 3(2 + 3y) -5 + 10y = (2 * 3 + 3y * 3) -5 + 10y = (6 + 9y) Solving -5 + 10y = 6 + 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. -5 + 10y + -9y = 6 + 9y + -9y Combine like terms: 10y + -9y = 1y -5 + 1y = 6 + 9y + -9y Combine like terms: 9y + -9y = 0 -5 + 1y = 6 + 0 -5 + 1y = 6 Add '5' to each side of the equation. -5 + 5 + 1y = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 1y = 6 + 5 1y = 6 + 5 Combine like terms: 6 + 5 = 11 1y = 11 Divide each side by '1'. y = 11 Simplifying y = 11
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