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Simplifying 0.12(y + -8) + 0.18y = 0.20y + -0.9 Reorder the terms: 0.12(-8 + y) + 0.18y = 0.20y + -0.9 (-8 * 0.12 + y * 0.12) + 0.18y = 0.20y + -0.9 (-0.96 + 0.12y) + 0.18y = 0.20y + -0.9 Combine like terms: 0.12y + 0.18y = 0.3y -0.96 + 0.3y = 0.20y + -0.9 Reorder the terms: -0.96 + 0.3y = -0.9 + 0.20y Solving -0.96 + 0.3y = -0.9 + 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. -0.96 + 0.3y + -0.20y = -0.9 + 0.20y + -0.20y Combine like terms: 0.3y + -0.20y = 0.1y -0.96 + 0.1y = -0.9 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.96 + 0.1y = -0.9 + 0.00 -0.96 + 0.1y = -0.9 Add '0.96' to each side of the equation. -0.96 + 0.96 + 0.1y = -0.9 + 0.96 Combine like terms: -0.96 + 0.96 = 0.00 0.00 + 0.1y = -0.9 + 0.96 0.1y = -0.9 + 0.96 Combine like terms: -0.9 + 0.96 = 0.06 0.1y = 0.06 Divide each side by '0.1'. y = 0.6 Simplifying y = 0.6
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