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Simplifying 5(2y + -9) = 6(3y + 4) Reorder the terms: 5(-9 + 2y) = 6(3y + 4) (-9 * 5 + 2y * 5) = 6(3y + 4) (-45 + 10y) = 6(3y + 4) Reorder the terms: -45 + 10y = 6(4 + 3y) -45 + 10y = (4 * 6 + 3y * 6) -45 + 10y = (24 + 18y) Solving -45 + 10y = 24 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -45 + 10y + -18y = 24 + 18y + -18y Combine like terms: 10y + -18y = -8y -45 + -8y = 24 + 18y + -18y Combine like terms: 18y + -18y = 0 -45 + -8y = 24 + 0 -45 + -8y = 24 Add '45' to each side of the equation. -45 + 45 + -8y = 24 + 45 Combine like terms: -45 + 45 = 0 0 + -8y = 24 + 45 -8y = 24 + 45 Combine like terms: 24 + 45 = 69 -8y = 69 Divide each side by '-8'. y = -8.625 Simplifying y = -8.625
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