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Simplifying 0.18(y + -7) + 0.04y = 0.06y + -0.05(50) Reorder the terms: 0.18(-7 + y) + 0.04y = 0.06y + -0.05(50) (-7 * 0.18 + y * 0.18) + 0.04y = 0.06y + -0.05(50) (-1.26 + 0.18y) + 0.04y = 0.06y + -0.05(50) Combine like terms: 0.18y + 0.04y = 0.22y -1.26 + 0.22y = 0.06y + -0.05(50) Multiply -0.05 * 50 -1.26 + 0.22y = 0.06y + -2.5 Reorder the terms: -1.26 + 0.22y = -2.5 + 0.06y Solving -1.26 + 0.22y = -2.5 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -1.26 + 0.22y + -0.06y = -2.5 + 0.06y + -0.06y Combine like terms: 0.22y + -0.06y = 0.16y -1.26 + 0.16y = -2.5 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -1.26 + 0.16y = -2.5 + 0.00 -1.26 + 0.16y = -2.5 Add '1.26' to each side of the equation. -1.26 + 1.26 + 0.16y = -2.5 + 1.26 Combine like terms: -1.26 + 1.26 = 0.00 0.00 + 0.16y = -2.5 + 1.26 0.16y = -2.5 + 1.26 Combine like terms: -2.5 + 1.26 = -1.24 0.16y = -1.24 Divide each side by '0.16'. y = -7.75 Simplifying y = -7.75
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