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Simplifying 0.12(y + -4) + 0.18y = 0.06y + -0.9 Reorder the terms: 0.12(-4 + y) + 0.18y = 0.06y + -0.9 (-4 * 0.12 + y * 0.12) + 0.18y = 0.06y + -0.9 (-0.48 + 0.12y) + 0.18y = 0.06y + -0.9 Combine like terms: 0.12y + 0.18y = 0.3y -0.48 + 0.3y = 0.06y + -0.9 Reorder the terms: -0.48 + 0.3y = -0.9 + 0.06y Solving -0.48 + 0.3y = -0.9 + 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. -0.48 + 0.3y + -0.06y = -0.9 + 0.06y + -0.06y Combine like terms: 0.3y + -0.06y = 0.24y -0.48 + 0.24y = -0.9 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.48 + 0.24y = -0.9 + 0.00 -0.48 + 0.24y = -0.9 Add '0.48' to each side of the equation. -0.48 + 0.48 + 0.24y = -0.9 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + 0.24y = -0.9 + 0.48 0.24y = -0.9 + 0.48 Combine like terms: -0.9 + 0.48 = -0.42 0.24y = -0.42 Divide each side by '0.24'. y = -1.75 Simplifying y = -1.75
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