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Simplifying 0.16(y + -6) + 0.12y = 0.10y + -0.01(60) Reorder the terms: 0.16(-6 + y) + 0.12y = 0.10y + -0.01(60) (-6 * 0.16 + y * 0.16) + 0.12y = 0.10y + -0.01(60) (-0.96 + 0.16y) + 0.12y = 0.10y + -0.01(60) Combine like terms: 0.16y + 0.12y = 0.28y -0.96 + 0.28y = 0.10y + -0.01(60) Multiply -0.01 * 60 -0.96 + 0.28y = 0.10y + -0.6 Reorder the terms: -0.96 + 0.28y = -0.6 + 0.10y Solving -0.96 + 0.28y = -0.6 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -0.96 + 0.28y + -0.10y = -0.6 + 0.10y + -0.10y Combine like terms: 0.28y + -0.10y = 0.18y -0.96 + 0.18y = -0.6 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.96 + 0.18y = -0.6 + 0.00 -0.96 + 0.18y = -0.6 Add '0.96' to each side of the equation. -0.96 + 0.96 + 0.18y = -0.6 + 0.96 Combine like terms: -0.96 + 0.96 = 0.00 0.00 + 0.18y = -0.6 + 0.96 0.18y = -0.6 + 0.96 Combine like terms: -0.6 + 0.96 = 0.36 0.18y = 0.36 Divide each side by '0.18'. y = 2 Simplifying y = 2
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