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Simplifying 8(y + -7) + 0.02y = 0.20y + -0.07(20) Reorder the terms: 8(-7 + y) + 0.02y = 0.20y + -0.07(20) (-7 * 8 + y * 8) + 0.02y = 0.20y + -0.07(20) (-56 + 8y) + 0.02y = 0.20y + -0.07(20) Combine like terms: 8y + 0.02y = 8.02y -56 + 8.02y = 0.20y + -0.07(20) Multiply -0.07 * 20 -56 + 8.02y = 0.20y + -1.4 Reorder the terms: -56 + 8.02y = -1.4 + 0.20y Solving -56 + 8.02y = -1.4 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -56 + 8.02y + -0.20y = -1.4 + 0.20y + -0.20y Combine like terms: 8.02y + -0.20y = 7.82y -56 + 7.82y = -1.4 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -56 + 7.82y = -1.4 + 0.00 -56 + 7.82y = -1.4 Add '56' to each side of the equation. -56 + 56 + 7.82y = -1.4 + 56 Combine like terms: -56 + 56 = 0 0 + 7.82y = -1.4 + 56 7.82y = -1.4 + 56 Combine like terms: -1.4 + 56 = 54.6 7.82y = 54.6 Divide each side by '7.82'. y = 6.982097187 Simplifying y = 6.982097187
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