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Simplifying -7(y + -7) = 2y + 40 Reorder the terms: -7(-7 + y) = 2y + 40 (-7 * -7 + y * -7) = 2y + 40 (49 + -7y) = 2y + 40 Reorder the terms: 49 + -7y = 40 + 2y Solving 49 + -7y = 40 + 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. 49 + -7y + -2y = 40 + 2y + -2y Combine like terms: -7y + -2y = -9y 49 + -9y = 40 + 2y + -2y Combine like terms: 2y + -2y = 0 49 + -9y = 40 + 0 49 + -9y = 40 Add '-49' to each side of the equation. 49 + -49 + -9y = 40 + -49 Combine like terms: 49 + -49 = 0 0 + -9y = 40 + -49 -9y = 40 + -49 Combine like terms: 40 + -49 = -9 -9y = -9 Divide each side by '-9'. y = 1 Simplifying y = 1
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