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Simplifying 0.6(y + -3) + 0.10 = 0.04y + -0.03(40) Reorder the terms: 0.6(-3 + y) + 0.10 = 0.04y + -0.03(40) (-3 * 0.6 + y * 0.6) + 0.10 = 0.04y + -0.03(40) (-1.8 + 0.6y) + 0.10 = 0.04y + -0.03(40) Reorder the terms: -1.8 + 0.10 + 0.6y = 0.04y + -0.03(40) Combine like terms: -1.8 + 0.10 = -1.7 -1.7 + 0.6y = 0.04y + -0.03(40) Multiply -0.03 * 40 -1.7 + 0.6y = 0.04y + -1.2 Reorder the terms: -1.7 + 0.6y = -1.2 + 0.04y Solving -1.7 + 0.6y = -1.2 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -1.7 + 0.6y + -0.04y = -1.2 + 0.04y + -0.04y Combine like terms: 0.6y + -0.04y = 0.56y -1.7 + 0.56y = -1.2 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -1.7 + 0.56y = -1.2 + 0.00 -1.7 + 0.56y = -1.2 Add '1.7' to each side of the equation. -1.7 + 1.7 + 0.56y = -1.2 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + 0.56y = -1.2 + 1.7 0.56y = -1.2 + 1.7 Combine like terms: -1.2 + 1.7 = 0.5 0.56y = 0.5 Divide each side by '0.56'. y = 0.8928571429 Simplifying y = 0.8928571429
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