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Simplifying 0.14(y + -6) + 0.04y = 0.06y + -0.05(30) Reorder the terms: 0.14(-6 + y) + 0.04y = 0.06y + -0.05(30) (-6 * 0.14 + y * 0.14) + 0.04y = 0.06y + -0.05(30) (-0.84 + 0.14y) + 0.04y = 0.06y + -0.05(30) Combine like terms: 0.14y + 0.04y = 0.18y -0.84 + 0.18y = 0.06y + -0.05(30) Multiply -0.05 * 30 -0.84 + 0.18y = 0.06y + -1.5 Reorder the terms: -0.84 + 0.18y = -1.5 + 0.06y Solving -0.84 + 0.18y = -1.5 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.84 + 0.18y + -0.06y = -1.5 + 0.06y + -0.06y Combine like terms: 0.18y + -0.06y = 0.12y -0.84 + 0.12y = -1.5 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.84 + 0.12y = -1.5 + 0.00 -0.84 + 0.12y = -1.5 Add '0.84' to each side of the equation. -0.84 + 0.84 + 0.12y = -1.5 + 0.84 Combine like terms: -0.84 + 0.84 = 0.00 0.00 + 0.12y = -1.5 + 0.84 0.12y = -1.5 + 0.84 Combine like terms: -1.5 + 0.84 = -0.66 0.12y = -0.66 Divide each side by '0.12'. y = -5.5 Simplifying y = -5.5
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