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Simplifying -7(y + 6) = -4y + -27 Reorder the terms: -7(6 + y) = -4y + -27 (6 * -7 + y * -7) = -4y + -27 (-42 + -7y) = -4y + -27 Reorder the terms: -42 + -7y = -27 + -4y Solving -42 + -7y = -27 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -42 + -7y + 4y = -27 + -4y + 4y Combine like terms: -7y + 4y = -3y -42 + -3y = -27 + -4y + 4y Combine like terms: -4y + 4y = 0 -42 + -3y = -27 + 0 -42 + -3y = -27 Add '42' to each side of the equation. -42 + 42 + -3y = -27 + 42 Combine like terms: -42 + 42 = 0 0 + -3y = -27 + 42 -3y = -27 + 42 Combine like terms: -27 + 42 = 15 -3y = 15 Divide each side by '-3'. y = -5 Simplifying y = -5
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