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Simplifying 0.10(y + -3) + 0.12 = 0.06y + -0.03(30) Reorder the terms: 0.10(-3 + y) + 0.12 = 0.06y + -0.03(30) (-3 * 0.10 + y * 0.10) + 0.12 = 0.06y + -0.03(30) (-0.3 + 0.10y) + 0.12 = 0.06y + -0.03(30) Reorder the terms: -0.3 + 0.12 + 0.10y = 0.06y + -0.03(30) Combine like terms: -0.3 + 0.12 = -0.18 -0.18 + 0.10y = 0.06y + -0.03(30) Multiply -0.03 * 30 -0.18 + 0.10y = 0.06y + -0.9 Reorder the terms: -0.18 + 0.10y = -0.9 + 0.06y Solving -0.18 + 0.10y = -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. -0.18 + 0.10y + -0.06y = -0.9 + 0.06y + -0.06y Combine like terms: 0.10y + -0.06y = 0.04y -0.18 + 0.04y = -0.9 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.18 + 0.04y = -0.9 + 0.00 -0.18 + 0.04y = -0.9 Add '0.18' to each side of the equation. -0.18 + 0.18 + 0.04y = -0.9 + 0.18 Combine like terms: -0.18 + 0.18 = 0.00 0.00 + 0.04y = -0.9 + 0.18 0.04y = -0.9 + 0.18 Combine like terms: -0.9 + 0.18 = -0.72 0.04y = -0.72 Divide each side by '0.04'. y = -18 Simplifying y = -18
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