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Simplifying -7(y + 1) = 2y + 2 Reorder the terms: -7(1 + y) = 2y + 2 (1 * -7 + y * -7) = 2y + 2 (-7 + -7y) = 2y + 2 Reorder the terms: -7 + -7y = 2 + 2y Solving -7 + -7y = 2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -7 + -7y + -2y = 2 + 2y + -2y Combine like terms: -7y + -2y = -9y -7 + -9y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 -7 + -9y = 2 + 0 -7 + -9y = 2 Add '7' to each side of the equation. -7 + 7 + -9y = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -9y = 2 + 7 -9y = 2 + 7 Combine like terms: 2 + 7 = 9 -9y = 9 Divide each side by '-9'. y = -1 Simplifying y = -1
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