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Simplifying -4(y + 7) = -6y + -44 Reorder the terms: -4(7 + y) = -6y + -44 (7 * -4 + y * -4) = -6y + -44 (-28 + -4y) = -6y + -44 Reorder the terms: -28 + -4y = -44 + -6y Solving -28 + -4y = -44 + -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. -28 + -4y + 6y = -44 + -6y + 6y Combine like terms: -4y + 6y = 2y -28 + 2y = -44 + -6y + 6y Combine like terms: -6y + 6y = 0 -28 + 2y = -44 + 0 -28 + 2y = -44 Add '28' to each side of the equation. -28 + 28 + 2y = -44 + 28 Combine like terms: -28 + 28 = 0 0 + 2y = -44 + 28 2y = -44 + 28 Combine like terms: -44 + 28 = -16 2y = -16 Divide each side by '2'. y = -8 Simplifying y = -8
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