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Simplifying 3(3y + -5) = 3y + 45 Reorder the terms: 3(-5 + 3y) = 3y + 45 (-5 * 3 + 3y * 3) = 3y + 45 (-15 + 9y) = 3y + 45 Reorder the terms: -15 + 9y = 45 + 3y Solving -15 + 9y = 45 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -15 + 9y + -3y = 45 + 3y + -3y Combine like terms: 9y + -3y = 6y -15 + 6y = 45 + 3y + -3y Combine like terms: 3y + -3y = 0 -15 + 6y = 45 + 0 -15 + 6y = 45 Add '15' to each side of the equation. -15 + 15 + 6y = 45 + 15 Combine like terms: -15 + 15 = 0 0 + 6y = 45 + 15 6y = 45 + 15 Combine like terms: 45 + 15 = 60 6y = 60 Divide each side by '6'. y = 10 Simplifying y = 10
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