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Simplifying 0.02(y + -9) = 0.05(6y + 1) + -0.79 Reorder the terms: 0.02(-9 + y) = 0.05(6y + 1) + -0.79 (-9 * 0.02 + y * 0.02) = 0.05(6y + 1) + -0.79 (-0.18 + 0.02y) = 0.05(6y + 1) + -0.79 Reorder the terms: -0.18 + 0.02y = 0.05(1 + 6y) + -0.79 -0.18 + 0.02y = (1 * 0.05 + 6y * 0.05) + -0.79 -0.18 + 0.02y = (0.05 + 0.3y) + -0.79 Reorder the terms: -0.18 + 0.02y = 0.05 + -0.79 + 0.3y Combine like terms: 0.05 + -0.79 = -0.74 -0.18 + 0.02y = -0.74 + 0.3y Solving -0.18 + 0.02y = -0.74 + 0.3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.3y' to each side of the equation. -0.18 + 0.02y + -0.3y = -0.74 + 0.3y + -0.3y Combine like terms: 0.02y + -0.3y = -0.28y -0.18 + -0.28y = -0.74 + 0.3y + -0.3y Combine like terms: 0.3y + -0.3y = 0.0 -0.18 + -0.28y = -0.74 + 0.0 -0.18 + -0.28y = -0.74 Add '0.18' to each side of the equation. -0.18 + 0.18 + -0.28y = -0.74 + 0.18 Combine like terms: -0.18 + 0.18 = 0.00 0.00 + -0.28y = -0.74 + 0.18 -0.28y = -0.74 + 0.18 Combine like terms: -0.74 + 0.18 = -0.56 -0.28y = -0.56 Divide each side by '-0.28'. y = 2 Simplifying y = 2
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