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Simplifying 0.12(y + -8) + 0.14 = 0.18y + -0.03(10) Reorder the terms: 0.12(-8 + y) + 0.14 = 0.18y + -0.03(10) (-8 * 0.12 + y * 0.12) + 0.14 = 0.18y + -0.03(10) (-0.96 + 0.12y) + 0.14 = 0.18y + -0.03(10) Reorder the terms: -0.96 + 0.14 + 0.12y = 0.18y + -0.03(10) Combine like terms: -0.96 + 0.14 = -0.82 -0.82 + 0.12y = 0.18y + -0.03(10) Multiply -0.03 * 10 -0.82 + 0.12y = 0.18y + -0.3 Reorder the terms: -0.82 + 0.12y = -0.3 + 0.18y Solving -0.82 + 0.12y = -0.3 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -0.82 + 0.12y + -0.18y = -0.3 + 0.18y + -0.18y Combine like terms: 0.12y + -0.18y = -0.06y -0.82 + -0.06y = -0.3 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.82 + -0.06y = -0.3 + 0.00 -0.82 + -0.06y = -0.3 Add '0.82' to each side of the equation. -0.82 + 0.82 + -0.06y = -0.3 + 0.82 Combine like terms: -0.82 + 0.82 = 0.00 0.00 + -0.06y = -0.3 + 0.82 -0.06y = -0.3 + 0.82 Combine like terms: -0.3 + 0.82 = 0.52 -0.06y = 0.52 Divide each side by '-0.06'. y = -8.666666667 Simplifying y = -8.666666667
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