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Simplifying -49 = 7(y + 1) Reorder the terms: -49 = 7(1 + y) -49 = (1 * 7 + y * 7) -49 = (7 + 7y) Solving -49 = 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. -49 + -7y = 7 + 7y + -7y Combine like terms: 7y + -7y = 0 -49 + -7y = 7 + 0 -49 + -7y = 7 Add '49' to each side of the equation. -49 + 49 + -7y = 7 + 49 Combine like terms: -49 + 49 = 0 0 + -7y = 7 + 49 -7y = 7 + 49 Combine like terms: 7 + 49 = 56 -7y = 56 Divide each side by '-7'. y = -8 Simplifying y = -8
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