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Simplifying -4(y + 6) = -6y + -42 Reorder the terms: -4(6 + y) = -6y + -42 (6 * -4 + y * -4) = -6y + -42 (-24 + -4y) = -6y + -42 Reorder the terms: -24 + -4y = -42 + -6y Solving -24 + -4y = -42 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -24 + -4y + 6y = -42 + -6y + 6y Combine like terms: -4y + 6y = 2y -24 + 2y = -42 + -6y + 6y Combine like terms: -6y + 6y = 0 -24 + 2y = -42 + 0 -24 + 2y = -42 Add '24' to each side of the equation. -24 + 24 + 2y = -42 + 24 Combine like terms: -24 + 24 = 0 0 + 2y = -42 + 24 2y = -42 + 24 Combine like terms: -42 + 24 = -18 2y = -18 Divide each side by '2'. y = -9 Simplifying y = -9
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