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Simplifying 0.12(y + -2) + 0.04y = 0.20y + -0.05(10) Reorder the terms: 0.12(-2 + y) + 0.04y = 0.20y + -0.05(10) (-2 * 0.12 + y * 0.12) + 0.04y = 0.20y + -0.05(10) (-0.24 + 0.12y) + 0.04y = 0.20y + -0.05(10) Combine like terms: 0.12y + 0.04y = 0.16y -0.24 + 0.16y = 0.20y + -0.05(10) Multiply -0.05 * 10 -0.24 + 0.16y = 0.20y + -0.5 Reorder the terms: -0.24 + 0.16y = -0.5 + 0.20y Solving -0.24 + 0.16y = -0.5 + 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. -0.24 + 0.16y + -0.20y = -0.5 + 0.20y + -0.20y Combine like terms: 0.16y + -0.20y = -0.04y -0.24 + -0.04y = -0.5 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.24 + -0.04y = -0.5 + 0.00 -0.24 + -0.04y = -0.5 Add '0.24' to each side of the equation. -0.24 + 0.24 + -0.04y = -0.5 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + -0.04y = -0.5 + 0.24 -0.04y = -0.5 + 0.24 Combine like terms: -0.5 + 0.24 = -0.26 -0.04y = -0.26 Divide each side by '-0.04'. y = 6.5 Simplifying y = 6.5
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