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Simplifying 0.10(y + -2) + 0.8y = 0.02y + -0.01(60) Reorder the terms: 0.10(-2 + y) + 0.8y = 0.02y + -0.01(60) (-2 * 0.10 + y * 0.10) + 0.8y = 0.02y + -0.01(60) (-0.2 + 0.10y) + 0.8y = 0.02y + -0.01(60) Combine like terms: 0.10y + 0.8y = 0.9y -0.2 + 0.9y = 0.02y + -0.01(60) Multiply -0.01 * 60 -0.2 + 0.9y = 0.02y + -0.6 Reorder the terms: -0.2 + 0.9y = -0.6 + 0.02y Solving -0.2 + 0.9y = -0.6 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.2 + 0.9y + -0.02y = -0.6 + 0.02y + -0.02y Combine like terms: 0.9y + -0.02y = 0.88y -0.2 + 0.88y = -0.6 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.2 + 0.88y = -0.6 + 0.00 -0.2 + 0.88y = -0.6 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.88y = -0.6 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.88y = -0.6 + 0.2 0.88y = -0.6 + 0.2 Combine like terms: -0.6 + 0.2 = -0.4 0.88y = -0.4 Divide each side by '0.88'. y = -0.4545454545 Simplifying y = -0.4545454545
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