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Simplifying -4y + -1 = -7(y + 1) Reorder the terms: -1 + -4y = -7(y + 1) Reorder the terms: -1 + -4y = -7(1 + y) -1 + -4y = (1 * -7 + y * -7) -1 + -4y = (-7 + -7y) Solving -1 + -4y = -7 + -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. -1 + -4y + 7y = -7 + -7y + 7y Combine like terms: -4y + 7y = 3y -1 + 3y = -7 + -7y + 7y Combine like terms: -7y + 7y = 0 -1 + 3y = -7 + 0 -1 + 3y = -7 Add '1' to each side of the equation. -1 + 1 + 3y = -7 + 1 Combine like terms: -1 + 1 = 0 0 + 3y = -7 + 1 3y = -7 + 1 Combine like terms: -7 + 1 = -6 3y = -6 Divide each side by '3'. y = -2 Simplifying y = -2
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