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Simplifying 0.20(y + -7) + 0.02y = 0.12y + -1 Reorder the terms: 0.20(-7 + y) + 0.02y = 0.12y + -1 (-7 * 0.20 + y * 0.20) + 0.02y = 0.12y + -1 (-1.4 + 0.20y) + 0.02y = 0.12y + -1 Combine like terms: 0.20y + 0.02y = 0.22y -1.4 + 0.22y = 0.12y + -1 Reorder the terms: -1.4 + 0.22y = -1 + 0.12y Solving -1.4 + 0.22y = -1 + 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. -1.4 + 0.22y + -0.12y = -1 + 0.12y + -0.12y Combine like terms: 0.22y + -0.12y = 0.1y -1.4 + 0.1y = -1 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -1.4 + 0.1y = -1 + 0.00 -1.4 + 0.1y = -1 Add '1.4' to each side of the equation. -1.4 + 1.4 + 0.1y = -1 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 0.1y = -1 + 1.4 0.1y = -1 + 1.4 Combine like terms: -1 + 1.4 = 0.4 0.1y = 0.4 Divide each side by '0.1'. y = 4 Simplifying y = 4
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