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Simplifying 0.44(y + -200) + 0.02y = 0.12y + 0.07(200) Reorder the terms: 0.44(-200 + y) + 0.02y = 0.12y + 0.07(200) (-200 * 0.44 + y * 0.44) + 0.02y = 0.12y + 0.07(200) (-88 + 0.44y) + 0.02y = 0.12y + 0.07(200) Combine like terms: 0.44y + 0.02y = 0.46y -88 + 0.46y = 0.12y + 0.07(200) Multiply 0.07 * 200 -88 + 0.46y = 0.12y + 14 Reorder the terms: -88 + 0.46y = 14 + 0.12y Solving -88 + 0.46y = 14 + 0.12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.12y' to each side of the equation. -88 + 0.46y + -0.12y = 14 + 0.12y + -0.12y Combine like terms: 0.46y + -0.12y = 0.34y -88 + 0.34y = 14 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -88 + 0.34y = 14 + 0.00 -88 + 0.34y = 14 Add '88' to each side of the equation. -88 + 88 + 0.34y = 14 + 88 Combine like terms: -88 + 88 = 0 0 + 0.34y = 14 + 88 0.34y = 14 + 88 Combine like terms: 14 + 88 = 102 0.34y = 102 Divide each side by '0.34'. y = 300 Simplifying y = 300
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