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Simplifying 0.14(y + -3) + 0.08y = 0.18y + -0.01(70) Reorder the terms: 0.14(-3 + y) + 0.08y = 0.18y + -0.01(70) (-3 * 0.14 + y * 0.14) + 0.08y = 0.18y + -0.01(70) (-0.42 + 0.14y) + 0.08y = 0.18y + -0.01(70) Combine like terms: 0.14y + 0.08y = 0.22y -0.42 + 0.22y = 0.18y + -0.01(70) Multiply -0.01 * 70 -0.42 + 0.22y = 0.18y + -0.7 Reorder the terms: -0.42 + 0.22y = -0.7 + 0.18y Solving -0.42 + 0.22y = -0.7 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -0.42 + 0.22y + -0.18y = -0.7 + 0.18y + -0.18y Combine like terms: 0.22y + -0.18y = 0.04y -0.42 + 0.04y = -0.7 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.42 + 0.04y = -0.7 + 0.00 -0.42 + 0.04y = -0.7 Add '0.42' to each side of the equation. -0.42 + 0.42 + 0.04y = -0.7 + 0.42 Combine like terms: -0.42 + 0.42 = 0.00 0.00 + 0.04y = -0.7 + 0.42 0.04y = -0.7 + 0.42 Combine like terms: -0.7 + 0.42 = -0.28 0.04y = -0.28 Divide each side by '0.04'. y = -7 Simplifying y = -7
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