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Simplifying 0.08(y + -6) + 0.04y = 0.16y + -0.3 Reorder the terms: 0.08(-6 + y) + 0.04y = 0.16y + -0.3 (-6 * 0.08 + y * 0.08) + 0.04y = 0.16y + -0.3 (-0.48 + 0.08y) + 0.04y = 0.16y + -0.3 Combine like terms: 0.08y + 0.04y = 0.12y -0.48 + 0.12y = 0.16y + -0.3 Reorder the terms: -0.48 + 0.12y = -0.3 + 0.16y Solving -0.48 + 0.12y = -0.3 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -0.48 + 0.12y + -0.16y = -0.3 + 0.16y + -0.16y Combine like terms: 0.12y + -0.16y = -0.04y -0.48 + -0.04y = -0.3 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.48 + -0.04y = -0.3 + 0.00 -0.48 + -0.04y = -0.3 Add '0.48' to each side of the equation. -0.48 + 0.48 + -0.04y = -0.3 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + -0.04y = -0.3 + 0.48 -0.04y = -0.3 + 0.48 Combine like terms: -0.3 + 0.48 = 0.18 -0.04y = 0.18 Divide each side by '-0.04'. y = -4.5 Simplifying y = -4.5
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