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Simplifying 3(-2 + -2y) = -3(2 + 4y) + -24 (-2 * 3 + -2y * 3) = -3(2 + 4y) + -24 (-6 + -6y) = -3(2 + 4y) + -24 -6 + -6y = (2 * -3 + 4y * -3) + -24 -6 + -6y = (-6 + -12y) + -24 Reorder the terms: -6 + -6y = -6 + -24 + -12y Combine like terms: -6 + -24 = -30 -6 + -6y = -30 + -12y Solving -6 + -6y = -30 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. -6 + -6y + 12y = -30 + -12y + 12y Combine like terms: -6y + 12y = 6y -6 + 6y = -30 + -12y + 12y Combine like terms: -12y + 12y = 0 -6 + 6y = -30 + 0 -6 + 6y = -30 Add '6' to each side of the equation. -6 + 6 + 6y = -30 + 6 Combine like terms: -6 + 6 = 0 0 + 6y = -30 + 6 6y = -30 + 6 Combine like terms: -30 + 6 = -24 6y = -24 Divide each side by '6'. y = -4 Simplifying y = -4
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