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