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Simplifying 0.02(y + -2) + 0.14y = 0.08y + -0.01(70) Reorder the terms: 0.02(-2 + y) + 0.14y = 0.08y + -0.01(70) (-2 * 0.02 + y * 0.02) + 0.14y = 0.08y + -0.01(70) (-0.04 + 0.02y) + 0.14y = 0.08y + -0.01(70) Combine like terms: 0.02y + 0.14y = 0.16y -0.04 + 0.16y = 0.08y + -0.01(70) Multiply -0.01 * 70 -0.04 + 0.16y = 0.08y + -0.7 Reorder the terms: -0.04 + 0.16y = -0.7 + 0.08y Solving -0.04 + 0.16y = -0.7 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -0.04 + 0.16y + -0.08y = -0.7 + 0.08y + -0.08y Combine like terms: 0.16y + -0.08y = 0.08y -0.04 + 0.08y = -0.7 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.04 + 0.08y = -0.7 + 0.00 -0.04 + 0.08y = -0.7 Add '0.04' to each side of the equation. -0.04 + 0.04 + 0.08y = -0.7 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 0.08y = -0.7 + 0.04 0.08y = -0.7 + 0.04 Combine like terms: -0.7 + 0.04 = -0.66 0.08y = -0.66 Divide each side by '0.08'. y = -8.25 Simplifying y = -8.25
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