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Simplifying 0.33y + -4(0.66y + -3) = 0.66y + -6 Reorder the terms: 0.33y + -4(-3 + 0.66y) = 0.66y + -6 0.33y + (-3 * -4 + 0.66y * -4) = 0.66y + -6 0.33y + (12 + -2.64y) = 0.66y + -6 Reorder the terms: 12 + 0.33y + -2.64y = 0.66y + -6 Combine like terms: 0.33y + -2.64y = -2.31y 12 + -2.31y = 0.66y + -6 Reorder the terms: 12 + -2.31y = -6 + 0.66y Solving 12 + -2.31y = -6 + 0.66y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.66y' to each side of the equation. 12 + -2.31y + -0.66y = -6 + 0.66y + -0.66y Combine like terms: -2.31y + -0.66y = -2.97y 12 + -2.97y = -6 + 0.66y + -0.66y Combine like terms: 0.66y + -0.66y = 0.00 12 + -2.97y = -6 + 0.00 12 + -2.97y = -6 Add '-12' to each side of the equation. 12 + -12 + -2.97y = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -2.97y = -6 + -12 -2.97y = -6 + -12 Combine like terms: -6 + -12 = -18 -2.97y = -18 Divide each side by '-2.97'. y = 6.060606061 Simplifying y = 6.060606061
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