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Simplifying 4.5(10y + -10) = 2.7(7y + 14) Reorder the terms: 4.5(-10 + 10y) = 2.7(7y + 14) (-10 * 4.5 + 10y * 4.5) = 2.7(7y + 14) (-45 + 45y) = 2.7(7y + 14) Reorder the terms: -45 + 45y = 2.7(14 + 7y) -45 + 45y = (14 * 2.7 + 7y * 2.7) -45 + 45y = (37.8 + 18.9y) Solving -45 + 45y = 37.8 + 18.9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18.9y' to each side of the equation. -45 + 45y + -18.9y = 37.8 + 18.9y + -18.9y Combine like terms: 45y + -18.9y = 26.1y -45 + 26.1y = 37.8 + 18.9y + -18.9y Combine like terms: 18.9y + -18.9y = 0.0 -45 + 26.1y = 37.8 + 0.0 -45 + 26.1y = 37.8 Add '45' to each side of the equation. -45 + 45 + 26.1y = 37.8 + 45 Combine like terms: -45 + 45 = 0 0 + 26.1y = 37.8 + 45 26.1y = 37.8 + 45 Combine like terms: 37.8 + 45 = 82.8 26.1y = 82.8 Divide each side by '26.1'. y = 3.172413793 Simplifying y = 3.172413793
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