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Simplifying 0.08(y + -6) + 0.04y = 0.14y + -0.03(20) Reorder the terms: 0.08(-6 + y) + 0.04y = 0.14y + -0.03(20) (-6 * 0.08 + y * 0.08) + 0.04y = 0.14y + -0.03(20) (-0.48 + 0.08y) + 0.04y = 0.14y + -0.03(20) Combine like terms: 0.08y + 0.04y = 0.12y -0.48 + 0.12y = 0.14y + -0.03(20) Multiply -0.03 * 20 -0.48 + 0.12y = 0.14y + -0.6 Reorder the terms: -0.48 + 0.12y = -0.6 + 0.14y Solving -0.48 + 0.12y = -0.6 + 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. -0.48 + 0.12y + -0.14y = -0.6 + 0.14y + -0.14y Combine like terms: 0.12y + -0.14y = -0.02y -0.48 + -0.02y = -0.6 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.48 + -0.02y = -0.6 + 0.00 -0.48 + -0.02y = -0.6 Add '0.48' to each side of the equation. -0.48 + 0.48 + -0.02y = -0.6 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + -0.02y = -0.6 + 0.48 -0.02y = -0.6 + 0.48 Combine like terms: -0.6 + 0.48 = -0.12 -0.02y = -0.12 Divide each side by '-0.02'. y = 6 Simplifying y = 6
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