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Simplifying 0.02(y + -5) + 0.20y = 0.12y + -0.09(10) Reorder the terms: 0.02(-5 + y) + 0.20y = 0.12y + -0.09(10) (-5 * 0.02 + y * 0.02) + 0.20y = 0.12y + -0.09(10) (-0.1 + 0.02y) + 0.20y = 0.12y + -0.09(10) Combine like terms: 0.02y + 0.20y = 0.22y -0.1 + 0.22y = 0.12y + -0.09(10) Multiply -0.09 * 10 -0.1 + 0.22y = 0.12y + -0.9 Reorder the terms: -0.1 + 0.22y = -0.9 + 0.12y Solving -0.1 + 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. -0.1 + 0.22y + -0.12y = -0.9 + 0.12y + -0.12y Combine like terms: 0.22y + -0.12y = 0.1y -0.1 + 0.1y = -0.9 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.1 + 0.1y = -0.9 + 0.00 -0.1 + 0.1y = -0.9 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.1y = -0.9 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.1y = -0.9 + 0.1 0.1y = -0.9 + 0.1 Combine like terms: -0.9 + 0.1 = -0.8 0.1y = -0.8 Divide each side by '0.1'. y = -8 Simplifying y = -8
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