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Simplifying 0.14(y + -7) + 0.04y = 0.08y + -0.05(30) Reorder the terms: 0.14(-7 + y) + 0.04y = 0.08y + -0.05(30) (-7 * 0.14 + y * 0.14) + 0.04y = 0.08y + -0.05(30) (-0.98 + 0.14y) + 0.04y = 0.08y + -0.05(30) Combine like terms: 0.14y + 0.04y = 0.18y -0.98 + 0.18y = 0.08y + -0.05(30) Multiply -0.05 * 30 -0.98 + 0.18y = 0.08y + -1.5 Reorder the terms: -0.98 + 0.18y = -1.5 + 0.08y Solving -0.98 + 0.18y = -1.5 + 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. -0.98 + 0.18y + -0.08y = -1.5 + 0.08y + -0.08y Combine like terms: 0.18y + -0.08y = 0.1y -0.98 + 0.1y = -1.5 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.98 + 0.1y = -1.5 + 0.00 -0.98 + 0.1y = -1.5 Add '0.98' to each side of the equation. -0.98 + 0.98 + 0.1y = -1.5 + 0.98 Combine like terms: -0.98 + 0.98 = 0.00 0.00 + 0.1y = -1.5 + 0.98 0.1y = -1.5 + 0.98 Combine like terms: -1.5 + 0.98 = -0.52 0.1y = -0.52 Divide each side by '0.1'. y = -5.2 Simplifying y = -5.2
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