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Simplifying 0.8(35 + -1y) + 1.5y = 42 (35 * 0.8 + -1y * 0.8) + 1.5y = 42 (28 + -0.8y) + 1.5y = 42 Combine like terms: -0.8y + 1.5y = 0.7y 28 + 0.7y = 42 Solving 28 + 0.7y = 42 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 0.7y = 42 + -28 Combine like terms: 28 + -28 = 0 0 + 0.7y = 42 + -28 0.7y = 42 + -28 Combine like terms: 42 + -28 = 14 0.7y = 14 Divide each side by '0.7'. y = 20 Simplifying y = 20
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