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Simplifying 0.18(y + -6) + 0.02 = 0.14y + -1.5 Reorder the terms: 0.18(-6 + y) + 0.02 = 0.14y + -1.5 (-6 * 0.18 + y * 0.18) + 0.02 = 0.14y + -1.5 (-1.08 + 0.18y) + 0.02 = 0.14y + -1.5 Reorder the terms: -1.08 + 0.02 + 0.18y = 0.14y + -1.5 Combine like terms: -1.08 + 0.02 = -1.06 -1.06 + 0.18y = 0.14y + -1.5 Reorder the terms: -1.06 + 0.18y = -1.5 + 0.14y Solving -1.06 + 0.18y = -1.5 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -1.06 + 0.18y + -0.14y = -1.5 + 0.14y + -0.14y Combine like terms: 0.18y + -0.14y = 0.04y -1.06 + 0.04y = -1.5 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -1.06 + 0.04y = -1.5 + 0.00 -1.06 + 0.04y = -1.5 Add '1.06' to each side of the equation. -1.06 + 1.06 + 0.04y = -1.5 + 1.06 Combine like terms: -1.06 + 1.06 = 0.00 0.00 + 0.04y = -1.5 + 1.06 0.04y = -1.5 + 1.06 Combine like terms: -1.5 + 1.06 = -0.44 0.04y = -0.44 Divide each side by '0.04'. y = -11 Simplifying y = -11
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