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Simplifying 0.02(3 + -2y) = 0.12y + -55.14 (3 * 0.02 + -2y * 0.02) = 0.12y + -55.14 (0.06 + -0.04y) = 0.12y + -55.14 Reorder the terms: 0.06 + -0.04y = -55.14 + 0.12y Solving 0.06 + -0.04y = -55.14 + 0.12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.12y' to each side of the equation. 0.06 + -0.04y + -0.12y = -55.14 + 0.12y + -0.12y Combine like terms: -0.04y + -0.12y = -0.16y 0.06 + -0.16y = -55.14 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 0.06 + -0.16y = -55.14 + 0.00 0.06 + -0.16y = -55.14 Add '-0.06' to each side of the equation. 0.06 + -0.06 + -0.16y = -55.14 + -0.06 Combine like terms: 0.06 + -0.06 = 0.00 0.00 + -0.16y = -55.14 + -0.06 -0.16y = -55.14 + -0.06 Combine like terms: -55.14 + -0.06 = -55.2 -0.16y = -55.2 Divide each side by '-0.16'. y = 345 Simplifying y = 345
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