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Simplifying 0.16(y + -9) + 0.06y = 0.18y + -0.05(30) Reorder the terms: 0.16(-9 + y) + 0.06y = 0.18y + -0.05(30) (-9 * 0.16 + y * 0.16) + 0.06y = 0.18y + -0.05(30) (-1.44 + 0.16y) + 0.06y = 0.18y + -0.05(30) Combine like terms: 0.16y + 0.06y = 0.22y -1.44 + 0.22y = 0.18y + -0.05(30) Multiply -0.05 * 30 -1.44 + 0.22y = 0.18y + -1.5 Reorder the terms: -1.44 + 0.22y = -1.5 + 0.18y Solving -1.44 + 0.22y = -1.5 + 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. -1.44 + 0.22y + -0.18y = -1.5 + 0.18y + -0.18y Combine like terms: 0.22y + -0.18y = 0.04y -1.44 + 0.04y = -1.5 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -1.44 + 0.04y = -1.5 + 0.00 -1.44 + 0.04y = -1.5 Add '1.44' to each side of the equation. -1.44 + 1.44 + 0.04y = -1.5 + 1.44 Combine like terms: -1.44 + 1.44 = 0.00 0.00 + 0.04y = -1.5 + 1.44 0.04y = -1.5 + 1.44 Combine like terms: -1.5 + 1.44 = -0.06 0.04y = -0.06 Divide each side by '0.04'. y = -1.5 Simplifying y = -1.5
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