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Simplifying 0.12(y + -3) + 0.16y = 0.10y + -1.8 Reorder the terms: 0.12(-3 + y) + 0.16y = 0.10y + -1.8 (-3 * 0.12 + y * 0.12) + 0.16y = 0.10y + -1.8 (-0.36 + 0.12y) + 0.16y = 0.10y + -1.8 Combine like terms: 0.12y + 0.16y = 0.28y -0.36 + 0.28y = 0.10y + -1.8 Reorder the terms: -0.36 + 0.28y = -1.8 + 0.10y Solving -0.36 + 0.28y = -1.8 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -0.36 + 0.28y + -0.10y = -1.8 + 0.10y + -0.10y Combine like terms: 0.28y + -0.10y = 0.18y -0.36 + 0.18y = -1.8 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.36 + 0.18y = -1.8 + 0.00 -0.36 + 0.18y = -1.8 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.18y = -1.8 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.18y = -1.8 + 0.36 0.18y = -1.8 + 0.36 Combine like terms: -1.8 + 0.36 = -1.44 0.18y = -1.44 Divide each side by '0.18'. y = -8 Simplifying y = -8
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