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Simplifying 0.16(y + -1) + 0.14 = 0.18y + -0.01(70) Reorder the terms: 0.16(-1 + y) + 0.14 = 0.18y + -0.01(70) (-1 * 0.16 + y * 0.16) + 0.14 = 0.18y + -0.01(70) (-0.16 + 0.16y) + 0.14 = 0.18y + -0.01(70) Reorder the terms: -0.16 + 0.14 + 0.16y = 0.18y + -0.01(70) Combine like terms: -0.16 + 0.14 = -0.02 -0.02 + 0.16y = 0.18y + -0.01(70) Multiply -0.01 * 70 -0.02 + 0.16y = 0.18y + -0.7 Reorder the terms: -0.02 + 0.16y = -0.7 + 0.18y Solving -0.02 + 0.16y = -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. -0.02 + 0.16y + -0.18y = -0.7 + 0.18y + -0.18y Combine like terms: 0.16y + -0.18y = -0.02y -0.02 + -0.02y = -0.7 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.02 + -0.02y = -0.7 + 0.00 -0.02 + -0.02y = -0.7 Add '0.02' to each side of the equation. -0.02 + 0.02 + -0.02y = -0.7 + 0.02 Combine like terms: -0.02 + 0.02 = 0.00 0.00 + -0.02y = -0.7 + 0.02 -0.02y = -0.7 + 0.02 Combine like terms: -0.7 + 0.02 = -0.68 -0.02y = -0.68 Divide each side by '-0.02'. y = 34 Simplifying y = 34
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