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Simplifying 3(y + -3) + -5 = 4(-6y + 3) + -9y Reorder the terms: 3(-3 + y) + -5 = 4(-6y + 3) + -9y (-3 * 3 + y * 3) + -5 = 4(-6y + 3) + -9y (-9 + 3y) + -5 = 4(-6y + 3) + -9y Reorder the terms: -9 + -5 + 3y = 4(-6y + 3) + -9y Combine like terms: -9 + -5 = -14 -14 + 3y = 4(-6y + 3) + -9y Reorder the terms: -14 + 3y = 4(3 + -6y) + -9y -14 + 3y = (3 * 4 + -6y * 4) + -9y -14 + 3y = (12 + -24y) + -9y Combine like terms: -24y + -9y = -33y -14 + 3y = 12 + -33y Solving -14 + 3y = 12 + -33y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '33y' to each side of the equation. -14 + 3y + 33y = 12 + -33y + 33y Combine like terms: 3y + 33y = 36y -14 + 36y = 12 + -33y + 33y Combine like terms: -33y + 33y = 0 -14 + 36y = 12 + 0 -14 + 36y = 12 Add '14' to each side of the equation. -14 + 14 + 36y = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 36y = 12 + 14 36y = 12 + 14 Combine like terms: 12 + 14 = 26 36y = 26 Divide each side by '36'. y = 0.7222222222 Simplifying y = 0.7222222222
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