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Simplifying 0.2(y + -8) + 0.02y = 0.12y + -0.9 Reorder the terms: 0.2(-8 + y) + 0.02y = 0.12y + -0.9 (-8 * 0.2 + y * 0.2) + 0.02y = 0.12y + -0.9 (-1.6 + 0.2y) + 0.02y = 0.12y + -0.9 Combine like terms: 0.2y + 0.02y = 0.22y -1.6 + 0.22y = 0.12y + -0.9 Reorder the terms: -1.6 + 0.22y = -0.9 + 0.12y Solving -1.6 + 0.22y = -0.9 + 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. -1.6 + 0.22y + -0.12y = -0.9 + 0.12y + -0.12y Combine like terms: 0.22y + -0.12y = 0.1y -1.6 + 0.1y = -0.9 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -1.6 + 0.1y = -0.9 + 0.00 -1.6 + 0.1y = -0.9 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.1y = -0.9 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.1y = -0.9 + 1.6 0.1y = -0.9 + 1.6 Combine like terms: -0.9 + 1.6 = 0.7 0.1y = 0.7 Divide each side by '0.1'. y = 7 Simplifying y = 7
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