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Simplifying -0.4(y + 0.75) = -0.166(y + 3) Reorder the terms: -0.4(0.75 + y) = -0.166(y + 3) (0.75 * -0.4 + y * -0.4) = -0.166(y + 3) (-0.3 + -0.4y) = -0.166(y + 3) Reorder the terms: -0.3 + -0.4y = -0.166(3 + y) -0.3 + -0.4y = (3 * -0.166 + y * -0.166) -0.3 + -0.4y = (-0.498 + -0.166y) Solving -0.3 + -0.4y = -0.498 + -0.166y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.166y' to each side of the equation. -0.3 + -0.4y + 0.166y = -0.498 + -0.166y + 0.166y Combine like terms: -0.4y + 0.166y = -0.234y -0.3 + -0.234y = -0.498 + -0.166y + 0.166y Combine like terms: -0.166y + 0.166y = 0.000 -0.3 + -0.234y = -0.498 + 0.000 -0.3 + -0.234y = -0.498 Add '0.3' to each side of the equation. -0.3 + 0.3 + -0.234y = -0.498 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + -0.234y = -0.498 + 0.3 -0.234y = -0.498 + 0.3 Combine like terms: -0.498 + 0.3 = -0.198 -0.234y = -0.198 Divide each side by '-0.234'. y = 0.8461538462 Simplifying y = 0.8461538462
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