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Simplifying 0.08(y + -2) + 0.12y = 0.14y + -0.01(70) Reorder the terms: 0.08(-2 + y) + 0.12y = 0.14y + -0.01(70) (-2 * 0.08 + y * 0.08) + 0.12y = 0.14y + -0.01(70) (-0.16 + 0.08y) + 0.12y = 0.14y + -0.01(70) Combine like terms: 0.08y + 0.12y = 0.2y -0.16 + 0.2y = 0.14y + -0.01(70) Multiply -0.01 * 70 -0.16 + 0.2y = 0.14y + -0.7 Reorder the terms: -0.16 + 0.2y = -0.7 + 0.14y Solving -0.16 + 0.2y = -0.7 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -0.16 + 0.2y + -0.14y = -0.7 + 0.14y + -0.14y Combine like terms: 0.2y + -0.14y = 0.06y -0.16 + 0.06y = -0.7 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.16 + 0.06y = -0.7 + 0.00 -0.16 + 0.06y = -0.7 Add '0.16' to each side of the equation. -0.16 + 0.16 + 0.06y = -0.7 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + 0.06y = -0.7 + 0.16 0.06y = -0.7 + 0.16 Combine like terms: -0.7 + 0.16 = -0.54 0.06y = -0.54 Divide each side by '0.06'. y = -9 Simplifying y = -9
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