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Simplifying 0.08(y + -6) + 0.14y = 0.18y + -0.7 Reorder the terms: 0.08(-6 + y) + 0.14y = 0.18y + -0.7 (-6 * 0.08 + y * 0.08) + 0.14y = 0.18y + -0.7 (-0.48 + 0.08y) + 0.14y = 0.18y + -0.7 Combine like terms: 0.08y + 0.14y = 0.22y -0.48 + 0.22y = 0.18y + -0.7 Reorder the terms: -0.48 + 0.22y = -0.7 + 0.18y Solving -0.48 + 0.22y = -0.7 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -0.48 + 0.22y + -0.18y = -0.7 + 0.18y + -0.18y Combine like terms: 0.22y + -0.18y = 0.04y -0.48 + 0.04y = -0.7 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.48 + 0.04y = -0.7 + 0.00 -0.48 + 0.04y = -0.7 Add '0.48' to each side of the equation. -0.48 + 0.48 + 0.04y = -0.7 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + 0.04y = -0.7 + 0.48 0.04y = -0.7 + 0.48 Combine like terms: -0.7 + 0.48 = -0.22 0.04y = -0.22 Divide each side by '0.04'. y = -5.5 Simplifying y = -5.5
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