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Simplifying 3(2y + -5) = 9 + -2y Reorder the terms: 3(-5 + 2y) = 9 + -2y (-5 * 3 + 2y * 3) = 9 + -2y (-15 + 6y) = 9 + -2y Solving -15 + 6y = 9 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -15 + 6y + 2y = 9 + -2y + 2y Combine like terms: 6y + 2y = 8y -15 + 8y = 9 + -2y + 2y Combine like terms: -2y + 2y = 0 -15 + 8y = 9 + 0 -15 + 8y = 9 Add '15' to each side of the equation. -15 + 15 + 8y = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 8y = 9 + 15 8y = 9 + 15 Combine like terms: 9 + 15 = 24 8y = 24 Divide each side by '8'. y = 3 Simplifying y = 3
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