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Simplifying -7y + -1 = -5(y + 1) Reorder the terms: -1 + -7y = -5(y + 1) Reorder the terms: -1 + -7y = -5(1 + y) -1 + -7y = (1 * -5 + y * -5) -1 + -7y = (-5 + -5y) Solving -1 + -7y = -5 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -1 + -7y + 5y = -5 + -5y + 5y Combine like terms: -7y + 5y = -2y -1 + -2y = -5 + -5y + 5y Combine like terms: -5y + 5y = 0 -1 + -2y = -5 + 0 -1 + -2y = -5 Add '1' to each side of the equation. -1 + 1 + -2y = -5 + 1 Combine like terms: -1 + 1 = 0 0 + -2y = -5 + 1 -2y = -5 + 1 Combine like terms: -5 + 1 = -4 -2y = -4 Divide each side by '-2'. y = 2 Simplifying y = 2
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