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Simplifying 3(3y + -3) + 6 = 5(2y + 4) Reorder the terms: 3(-3 + 3y) + 6 = 5(2y + 4) (-3 * 3 + 3y * 3) + 6 = 5(2y + 4) (-9 + 9y) + 6 = 5(2y + 4) Reorder the terms: -9 + 6 + 9y = 5(2y + 4) Combine like terms: -9 + 6 = -3 -3 + 9y = 5(2y + 4) Reorder the terms: -3 + 9y = 5(4 + 2y) -3 + 9y = (4 * 5 + 2y * 5) -3 + 9y = (20 + 10y) Solving -3 + 9y = 20 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -3 + 9y + -10y = 20 + 10y + -10y Combine like terms: 9y + -10y = -1y -3 + -1y = 20 + 10y + -10y Combine like terms: 10y + -10y = 0 -3 + -1y = 20 + 0 -3 + -1y = 20 Add '3' to each side of the equation. -3 + 3 + -1y = 20 + 3 Combine like terms: -3 + 3 = 0 0 + -1y = 20 + 3 -1y = 20 + 3 Combine like terms: 20 + 3 = 23 -1y = 23 Divide each side by '-1'. y = -23 Simplifying y = -23
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