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Simplifying 0.18(y + -4) + 0.10y = 0.12y + -0.01(20) Reorder the terms: 0.18(-4 + y) + 0.10y = 0.12y + -0.01(20) (-4 * 0.18 + y * 0.18) + 0.10y = 0.12y + -0.01(20) (-0.72 + 0.18y) + 0.10y = 0.12y + -0.01(20) Combine like terms: 0.18y + 0.10y = 0.28y -0.72 + 0.28y = 0.12y + -0.01(20) Multiply -0.01 * 20 -0.72 + 0.28y = 0.12y + -0.2 Reorder the terms: -0.72 + 0.28y = -0.2 + 0.12y Solving -0.72 + 0.28y = -0.2 + 0.12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.12y' to each side of the equation. -0.72 + 0.28y + -0.12y = -0.2 + 0.12y + -0.12y Combine like terms: 0.28y + -0.12y = 0.16y -0.72 + 0.16y = -0.2 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.72 + 0.16y = -0.2 + 0.00 -0.72 + 0.16y = -0.2 Add '0.72' to each side of the equation. -0.72 + 0.72 + 0.16y = -0.2 + 0.72 Combine like terms: -0.72 + 0.72 = 0.00 0.00 + 0.16y = -0.2 + 0.72 0.16y = -0.2 + 0.72 Combine like terms: -0.2 + 0.72 = 0.52 0.16y = 0.52 Divide each side by '0.16'. y = 3.25 Simplifying y = 3.25
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