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Simplifying 2.9y + -4(1.2 + -1y) = 5.4(y + 2) 2.9y + (1.2 * -4 + -1y * -4) = 5.4(y + 2) 2.9y + (-4.8 + 4y) = 5.4(y + 2) Reorder the terms: -4.8 + 2.9y + 4y = 5.4(y + 2) Combine like terms: 2.9y + 4y = 6.9y -4.8 + 6.9y = 5.4(y + 2) Reorder the terms: -4.8 + 6.9y = 5.4(2 + y) -4.8 + 6.9y = (2 * 5.4 + y * 5.4) -4.8 + 6.9y = (10.8 + 5.4y) Solving -4.8 + 6.9y = 10.8 + 5.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5.4y' to each side of the equation. -4.8 + 6.9y + -5.4y = 10.8 + 5.4y + -5.4y Combine like terms: 6.9y + -5.4y = 1.5y -4.8 + 1.5y = 10.8 + 5.4y + -5.4y Combine like terms: 5.4y + -5.4y = 0.0 -4.8 + 1.5y = 10.8 + 0.0 -4.8 + 1.5y = 10.8 Add '4.8' to each side of the equation. -4.8 + 4.8 + 1.5y = 10.8 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + 1.5y = 10.8 + 4.8 1.5y = 10.8 + 4.8 Combine like terms: 10.8 + 4.8 = 15.6 1.5y = 15.6 Divide each side by '1.5'. y = 10.4 Simplifying y = 10.4
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