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Simplifying 0.08(y + -7) + 0.16y = 0.10y + -0.01(70) Reorder the terms: 0.08(-7 + y) + 0.16y = 0.10y + -0.01(70) (-7 * 0.08 + y * 0.08) + 0.16y = 0.10y + -0.01(70) (-0.56 + 0.08y) + 0.16y = 0.10y + -0.01(70) Combine like terms: 0.08y + 0.16y = 0.24y -0.56 + 0.24y = 0.10y + -0.01(70) Multiply -0.01 * 70 -0.56 + 0.24y = 0.10y + -0.7 Reorder the terms: -0.56 + 0.24y = -0.7 + 0.10y Solving -0.56 + 0.24y = -0.7 + 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. -0.56 + 0.24y + -0.10y = -0.7 + 0.10y + -0.10y Combine like terms: 0.24y + -0.10y = 0.14y -0.56 + 0.14y = -0.7 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.56 + 0.14y = -0.7 + 0.00 -0.56 + 0.14y = -0.7 Add '0.56' to each side of the equation. -0.56 + 0.56 + 0.14y = -0.7 + 0.56 Combine like terms: -0.56 + 0.56 = 0.00 0.00 + 0.14y = -0.7 + 0.56 0.14y = -0.7 + 0.56 Combine like terms: -0.7 + 0.56 = -0.14 0.14y = -0.14 Divide each side by '0.14'. y = -1 Simplifying y = -1
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