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Simplifying -4(y + 7) = -7y + -34 Reorder the terms: -4(7 + y) = -7y + -34 (7 * -4 + y * -4) = -7y + -34 (-28 + -4y) = -7y + -34 Reorder the terms: -28 + -4y = -34 + -7y Solving -28 + -4y = -34 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -28 + -4y + 7y = -34 + -7y + 7y Combine like terms: -4y + 7y = 3y -28 + 3y = -34 + -7y + 7y Combine like terms: -7y + 7y = 0 -28 + 3y = -34 + 0 -28 + 3y = -34 Add '28' to each side of the equation. -28 + 28 + 3y = -34 + 28 Combine like terms: -28 + 28 = 0 0 + 3y = -34 + 28 3y = -34 + 28 Combine like terms: -34 + 28 = -6 3y = -6 Divide each side by '3'. y = -2 Simplifying y = -2
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