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Simplifying 0.02(2y + -1) + -0.5(y + -8) = 3 Reorder the terms: 0.02(-1 + 2y) + -0.5(y + -8) = 3 (-1 * 0.02 + 2y * 0.02) + -0.5(y + -8) = 3 (-0.02 + 0.04y) + -0.5(y + -8) = 3 Reorder the terms: -0.02 + 0.04y + -0.5(-8 + y) = 3 -0.02 + 0.04y + (-8 * -0.5 + y * -0.5) = 3 -0.02 + 0.04y + (4 + -0.5y) = 3 Reorder the terms: -0.02 + 4 + 0.04y + -0.5y = 3 Combine like terms: -0.02 + 4 = 3.98 3.98 + 0.04y + -0.5y = 3 Combine like terms: 0.04y + -0.5y = -0.46y 3.98 + -0.46y = 3 Solving 3.98 + -0.46y = 3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3.98' to each side of the equation. 3.98 + -3.98 + -0.46y = 3 + -3.98 Combine like terms: 3.98 + -3.98 = 0.00 0.00 + -0.46y = 3 + -3.98 -0.46y = 3 + -3.98 Combine like terms: 3 + -3.98 = -0.98 -0.46y = -0.98 Divide each side by '-0.46'. y = 2.130434783 Simplifying y = 2.130434783
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