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Simplifying 0.44(y + -200) + 0.02y = 0.12y + 0.079(200) Reorder the terms: 0.44(-200 + y) + 0.02y = 0.12y + 0.079(200) (-200 * 0.44 + y * 0.44) + 0.02y = 0.12y + 0.079(200) (-88 + 0.44y) + 0.02y = 0.12y + 0.079(200) Combine like terms: 0.44y + 0.02y = 0.46y -88 + 0.46y = 0.12y + 0.079(200) Multiply 0.079 * 200 -88 + 0.46y = 0.12y + 15.8 Reorder the terms: -88 + 0.46y = 15.8 + 0.12y Solving -88 + 0.46y = 15.8 + 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 = 15.8 + 0.12y + -0.12y Combine like terms: 0.46y + -0.12y = 0.34y -88 + 0.34y = 15.8 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -88 + 0.34y = 15.8 + 0.00 -88 + 0.34y = 15.8 Add '88' to each side of the equation. -88 + 88 + 0.34y = 15.8 + 88 Combine like terms: -88 + 88 = 0 0 + 0.34y = 15.8 + 88 0.34y = 15.8 + 88 Combine like terms: 15.8 + 88 = 103.8 0.34y = 103.8 Divide each side by '0.34'. y = 305.2941176 Simplifying y = 305.2941176
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