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Simplifying 0.18(y + -5) + 0.02y = 0.04y + -0.05(30) Reorder the terms: 0.18(-5 + y) + 0.02y = 0.04y + -0.05(30) (-5 * 0.18 + y * 0.18) + 0.02y = 0.04y + -0.05(30) (-0.9 + 0.18y) + 0.02y = 0.04y + -0.05(30) Combine like terms: 0.18y + 0.02y = 0.2y -0.9 + 0.2y = 0.04y + -0.05(30) Multiply -0.05 * 30 -0.9 + 0.2y = 0.04y + -1.5 Reorder the terms: -0.9 + 0.2y = -1.5 + 0.04y Solving -0.9 + 0.2y = -1.5 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.9 + 0.2y + -0.04y = -1.5 + 0.04y + -0.04y Combine like terms: 0.2y + -0.04y = 0.16y -0.9 + 0.16y = -1.5 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.9 + 0.16y = -1.5 + 0.00 -0.9 + 0.16y = -1.5 Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.16y = -1.5 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.16y = -1.5 + 0.9 0.16y = -1.5 + 0.9 Combine like terms: -1.5 + 0.9 = -0.6 0.16y = -0.6 Divide each side by '0.16'. y = -3.75 Simplifying y = -3.75
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