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Simplifying -5(6 + -4y) + -2y = 24 + 9y (6 * -5 + -4y * -5) + -2y = 24 + 9y (-30 + 20y) + -2y = 24 + 9y Combine like terms: 20y + -2y = 18y -30 + 18y = 24 + 9y Solving -30 + 18y = 24 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -30 + 18y + -9y = 24 + 9y + -9y Combine like terms: 18y + -9y = 9y -30 + 9y = 24 + 9y + -9y Combine like terms: 9y + -9y = 0 -30 + 9y = 24 + 0 -30 + 9y = 24 Add '30' to each side of the equation. -30 + 30 + 9y = 24 + 30 Combine like terms: -30 + 30 = 0 0 + 9y = 24 + 30 9y = 24 + 30 Combine like terms: 24 + 30 = 54 9y = 54 Divide each side by '9'. y = 6 Simplifying y = 6
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