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Simplifying 3 + -6(-5y + 4) = 3(-1y + 1) + -6 Reorder the terms: 3 + -6(4 + -5y) = 3(-1y + 1) + -6 3 + (4 * -6 + -5y * -6) = 3(-1y + 1) + -6 3 + (-24 + 30y) = 3(-1y + 1) + -6 Combine like terms: 3 + -24 = -21 -21 + 30y = 3(-1y + 1) + -6 Reorder the terms: -21 + 30y = 3(1 + -1y) + -6 -21 + 30y = (1 * 3 + -1y * 3) + -6 -21 + 30y = (3 + -3y) + -6 Reorder the terms: -21 + 30y = 3 + -6 + -3y Combine like terms: 3 + -6 = -3 -21 + 30y = -3 + -3y Solving -21 + 30y = -3 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -21 + 30y + 3y = -3 + -3y + 3y Combine like terms: 30y + 3y = 33y -21 + 33y = -3 + -3y + 3y Combine like terms: -3y + 3y = 0 -21 + 33y = -3 + 0 -21 + 33y = -3 Add '21' to each side of the equation. -21 + 21 + 33y = -3 + 21 Combine like terms: -21 + 21 = 0 0 + 33y = -3 + 21 33y = -3 + 21 Combine like terms: -3 + 21 = 18 33y = 18 Divide each side by '33'. y = 0.5454545455 Simplifying y = 0.5454545455
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