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Simplifying 0.12(y + -8) + 0.20y = 0.16y + -0.6 Reorder the terms: 0.12(-8 + y) + 0.20y = 0.16y + -0.6 (-8 * 0.12 + y * 0.12) + 0.20y = 0.16y + -0.6 (-0.96 + 0.12y) + 0.20y = 0.16y + -0.6 Combine like terms: 0.12y + 0.20y = 0.32y -0.96 + 0.32y = 0.16y + -0.6 Reorder the terms: -0.96 + 0.32y = -0.6 + 0.16y Solving -0.96 + 0.32y = -0.6 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -0.96 + 0.32y + -0.16y = -0.6 + 0.16y + -0.16y Combine like terms: 0.32y + -0.16y = 0.16y -0.96 + 0.16y = -0.6 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.96 + 0.16y = -0.6 + 0.00 -0.96 + 0.16y = -0.6 Add '0.96' to each side of the equation. -0.96 + 0.96 + 0.16y = -0.6 + 0.96 Combine like terms: -0.96 + 0.96 = 0.00 0.00 + 0.16y = -0.6 + 0.96 0.16y = -0.6 + 0.96 Combine like terms: -0.6 + 0.96 = 0.36 0.16y = 0.36 Divide each side by '0.16'. y = 2.25 Simplifying y = 2.25
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