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Simplifying 7(y + -7) + 2(4 + -2y) = 40 Reorder the terms: 7(-7 + y) + 2(4 + -2y) = 40 (-7 * 7 + y * 7) + 2(4 + -2y) = 40 (-49 + 7y) + 2(4 + -2y) = 40 -49 + 7y + (4 * 2 + -2y * 2) = 40 -49 + 7y + (8 + -4y) = 40 Reorder the terms: -49 + 8 + 7y + -4y = 40 Combine like terms: -49 + 8 = -41 -41 + 7y + -4y = 40 Combine like terms: 7y + -4y = 3y -41 + 3y = 40 Solving -41 + 3y = 40 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 3y = 40 + 41 Combine like terms: -41 + 41 = 0 0 + 3y = 40 + 41 3y = 40 + 41 Combine like terms: 40 + 41 = 81 3y = 81 Divide each side by '3'. y = 27 Simplifying y = 27
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