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Simplifying 0.44(y + -200) + 0.02 = 0.12y + 0.07(200) Reorder the terms: 0.44(-200 + y) + 0.02 = 0.12y + 0.07(200) (-200 * 0.44 + y * 0.44) + 0.02 = 0.12y + 0.07(200) (-88 + 0.44y) + 0.02 = 0.12y + 0.07(200) Reorder the terms: -88 + 0.02 + 0.44y = 0.12y + 0.07(200) Combine like terms: -88 + 0.02 = -87.98 -87.98 + 0.44y = 0.12y + 0.07(200) Multiply 0.07 * 200 -87.98 + 0.44y = 0.12y + 14 Reorder the terms: -87.98 + 0.44y = 14 + 0.12y Solving -87.98 + 0.44y = 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. -87.98 + 0.44y + -0.12y = 14 + 0.12y + -0.12y Combine like terms: 0.44y + -0.12y = 0.32y -87.98 + 0.32y = 14 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -87.98 + 0.32y = 14 + 0.00 -87.98 + 0.32y = 14 Add '87.98' to each side of the equation. -87.98 + 87.98 + 0.32y = 14 + 87.98 Combine like terms: -87.98 + 87.98 = 0.00 0.00 + 0.32y = 14 + 87.98 0.32y = 14 + 87.98 Combine like terms: 14 + 87.98 = 101.98 0.32y = 101.98 Divide each side by '0.32'. y = 318.6875 Simplifying y = 318.6875
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