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Simplifying y + 3.3y + -3.8 = 1.5(y + 1.2) Reorder the terms: -3.8 + y + 3.3y = 1.5(y + 1.2) Combine like terms: y + 3.3y = 4.3y -3.8 + 4.3y = 1.5(y + 1.2) Reorder the terms: -3.8 + 4.3y = 1.5(1.2 + y) -3.8 + 4.3y = (1.2 * 1.5 + y * 1.5) -3.8 + 4.3y = (1.8 + 1.5y) Solving -3.8 + 4.3y = 1.8 + 1.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.5y' to each side of the equation. -3.8 + 4.3y + -1.5y = 1.8 + 1.5y + -1.5y Combine like terms: 4.3y + -1.5y = 2.8y -3.8 + 2.8y = 1.8 + 1.5y + -1.5y Combine like terms: 1.5y + -1.5y = 0.0 -3.8 + 2.8y = 1.8 + 0.0 -3.8 + 2.8y = 1.8 Add '3.8' to each side of the equation. -3.8 + 3.8 + 2.8y = 1.8 + 3.8 Combine like terms: -3.8 + 3.8 = 0.0 0.0 + 2.8y = 1.8 + 3.8 2.8y = 1.8 + 3.8 Combine like terms: 1.8 + 3.8 = 5.6 2.8y = 5.6 Divide each side by '2.8'. y = 2 Simplifying y = 2
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