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Simplifying 0.14(y + -6) + 0.18 = 0.20y + -1.5 Reorder the terms: 0.14(-6 + y) + 0.18 = 0.20y + -1.5 (-6 * 0.14 + y * 0.14) + 0.18 = 0.20y + -1.5 (-0.84 + 0.14y) + 0.18 = 0.20y + -1.5 Reorder the terms: -0.84 + 0.18 + 0.14y = 0.20y + -1.5 Combine like terms: -0.84 + 0.18 = -0.66 -0.66 + 0.14y = 0.20y + -1.5 Reorder the terms: -0.66 + 0.14y = -1.5 + 0.20y Solving -0.66 + 0.14y = -1.5 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.66 + 0.14y + -0.20y = -1.5 + 0.20y + -0.20y Combine like terms: 0.14y + -0.20y = -0.06y -0.66 + -0.06y = -1.5 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.66 + -0.06y = -1.5 + 0.00 -0.66 + -0.06y = -1.5 Add '0.66' to each side of the equation. -0.66 + 0.66 + -0.06y = -1.5 + 0.66 Combine like terms: -0.66 + 0.66 = 0.00 0.00 + -0.06y = -1.5 + 0.66 -0.06y = -1.5 + 0.66 Combine like terms: -1.5 + 0.66 = -0.84 -0.06y = -0.84 Divide each side by '-0.06'. y = 14 Simplifying y = 14
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