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Simplifying 0.14(y + -2) + 0.16 = 0.18y + -0.05(20) Reorder the terms: 0.14(-2 + y) + 0.16 = 0.18y + -0.05(20) (-2 * 0.14 + y * 0.14) + 0.16 = 0.18y + -0.05(20) (-0.28 + 0.14y) + 0.16 = 0.18y + -0.05(20) Reorder the terms: -0.28 + 0.16 + 0.14y = 0.18y + -0.05(20) Combine like terms: -0.28 + 0.16 = -0.12 -0.12 + 0.14y = 0.18y + -0.05(20) Multiply -0.05 * 20 -0.12 + 0.14y = 0.18y + -1 Reorder the terms: -0.12 + 0.14y = -1 + 0.18y Solving -0.12 + 0.14y = -1 + 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. -0.12 + 0.14y + -0.18y = -1 + 0.18y + -0.18y Combine like terms: 0.14y + -0.18y = -0.04y -0.12 + -0.04y = -1 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.12 + -0.04y = -1 + 0.00 -0.12 + -0.04y = -1 Add '0.12' to each side of the equation. -0.12 + 0.12 + -0.04y = -1 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + -0.04y = -1 + 0.12 -0.04y = -1 + 0.12 Combine like terms: -1 + 0.12 = -0.88 -0.04y = -0.88 Divide each side by '-0.04'. y = 22 Simplifying y = 22
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