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Simplifying -6(y + 4) = -2y + -40 Reorder the terms: -6(4 + y) = -2y + -40 (4 * -6 + y * -6) = -2y + -40 (-24 + -6y) = -2y + -40 Reorder the terms: -24 + -6y = -40 + -2y Solving -24 + -6y = -40 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -24 + -6y + 2y = -40 + -2y + 2y Combine like terms: -6y + 2y = -4y -24 + -4y = -40 + -2y + 2y Combine like terms: -2y + 2y = 0 -24 + -4y = -40 + 0 -24 + -4y = -40 Add '24' to each side of the equation. -24 + 24 + -4y = -40 + 24 Combine like terms: -24 + 24 = 0 0 + -4y = -40 + 24 -4y = -40 + 24 Combine like terms: -40 + 24 = -16 -4y = -16 Divide each side by '-4'. y = 4 Simplifying y = 4
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