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Simplifying -5y + 7 = -7(y + 1) Reorder the terms: 7 + -5y = -7(y + 1) Reorder the terms: 7 + -5y = -7(1 + y) 7 + -5y = (1 * -7 + y * -7) 7 + -5y = (-7 + -7y) Solving 7 + -5y = -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. 7 + -5y + 7y = -7 + -7y + 7y Combine like terms: -5y + 7y = 2y 7 + 2y = -7 + -7y + 7y Combine like terms: -7y + 7y = 0 7 + 2y = -7 + 0 7 + 2y = -7 Add '-7' to each side of the equation. 7 + -7 + 2y = -7 + -7 Combine like terms: 7 + -7 = 0 0 + 2y = -7 + -7 2y = -7 + -7 Combine like terms: -7 + -7 = -14 2y = -14 Divide each side by '2'. y = -7 Simplifying y = -7
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