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Simplifying 0.12(-1y + -8) + 0.1y = 0.16y + -1.5 Reorder the terms: 0.12(-8 + -1y) + 0.1y = 0.16y + -1.5 (-8 * 0.12 + -1y * 0.12) + 0.1y = 0.16y + -1.5 (-0.96 + -0.12y) + 0.1y = 0.16y + -1.5 Combine like terms: -0.12y + 0.1y = -0.02y -0.96 + -0.02y = 0.16y + -1.5 Reorder the terms: -0.96 + -0.02y = -1.5 + 0.16y Solving -0.96 + -0.02y = -1.5 + 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 + -0.02y + -0.16y = -1.5 + 0.16y + -0.16y Combine like terms: -0.02y + -0.16y = -0.18y -0.96 + -0.18y = -1.5 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.96 + -0.18y = -1.5 + 0.00 -0.96 + -0.18y = -1.5 Add '0.96' to each side of the equation. -0.96 + 0.96 + -0.18y = -1.5 + 0.96 Combine like terms: -0.96 + 0.96 = 0.00 0.00 + -0.18y = -1.5 + 0.96 -0.18y = -1.5 + 0.96 Combine like terms: -1.5 + 0.96 = -0.54 -0.18y = -0.54 Divide each side by '-0.18'. y = 3 Simplifying y = 3
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