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Simplifying -0.4(y + 0.75) = -0.6666(y + 3) Reorder the terms: -0.4(0.75 + y) = -0.6666(y + 3) (0.75 * -0.4 + y * -0.4) = -0.6666(y + 3) (-0.3 + -0.4y) = -0.6666(y + 3) Reorder the terms: -0.3 + -0.4y = -0.6666(3 + y) -0.3 + -0.4y = (3 * -0.6666 + y * -0.6666) -0.3 + -0.4y = (-1.9998 + -0.6666y) Solving -0.3 + -0.4y = -1.9998 + -0.6666y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.6666y' to each side of the equation. -0.3 + -0.4y + 0.6666y = -1.9998 + -0.6666y + 0.6666y Combine like terms: -0.4y + 0.6666y = 0.2666y -0.3 + 0.2666y = -1.9998 + -0.6666y + 0.6666y Combine like terms: -0.6666y + 0.6666y = 0.0000 -0.3 + 0.2666y = -1.9998 + 0.0000 -0.3 + 0.2666y = -1.9998 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.2666y = -1.9998 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.2666y = -1.9998 + 0.3 0.2666y = -1.9998 + 0.3 Combine like terms: -1.9998 + 0.3 = -1.6998 0.2666y = -1.6998 Divide each side by '0.2666'. y = -6.375843961 Simplifying y = -6.375843961
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