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Simplifying 0.08(y + -6) + 0.04y = 0.20y + -0.07(10) Reorder the terms: 0.08(-6 + y) + 0.04y = 0.20y + -0.07(10) (-6 * 0.08 + y * 0.08) + 0.04y = 0.20y + -0.07(10) (-0.48 + 0.08y) + 0.04y = 0.20y + -0.07(10) Combine like terms: 0.08y + 0.04y = 0.12y -0.48 + 0.12y = 0.20y + -0.07(10) Multiply -0.07 * 10 -0.48 + 0.12y = 0.20y + -0.7 Reorder the terms: -0.48 + 0.12y = -0.7 + 0.20y Solving -0.48 + 0.12y = -0.7 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.48 + 0.12y + -0.20y = -0.7 + 0.20y + -0.20y Combine like terms: 0.12y + -0.20y = -0.08y -0.48 + -0.08y = -0.7 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.48 + -0.08y = -0.7 + 0.00 -0.48 + -0.08y = -0.7 Add '0.48' to each side of the equation. -0.48 + 0.48 + -0.08y = -0.7 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + -0.08y = -0.7 + 0.48 -0.08y = -0.7 + 0.48 Combine like terms: -0.7 + 0.48 = -0.22 -0.08y = -0.22 Divide each side by '-0.08'. y = 2.75 Simplifying y = 2.75
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