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Simplifying (9y + 7) + -1(7y + 3) = 3y + -5 Reorder the terms: (7 + 9y) + -1(7y + 3) = 3y + -5 Remove parenthesis around (7 + 9y) 7 + 9y + -1(7y + 3) = 3y + -5 Reorder the terms: 7 + 9y + -1(3 + 7y) = 3y + -5 7 + 9y + (3 * -1 + 7y * -1) = 3y + -5 7 + 9y + (-3 + -7y) = 3y + -5 Reorder the terms: 7 + -3 + 9y + -7y = 3y + -5 Combine like terms: 7 + -3 = 4 4 + 9y + -7y = 3y + -5 Combine like terms: 9y + -7y = 2y 4 + 2y = 3y + -5 Reorder the terms: 4 + 2y = -5 + 3y Solving 4 + 2y = -5 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 4 + 2y + -3y = -5 + 3y + -3y Combine like terms: 2y + -3y = -1y 4 + -1y = -5 + 3y + -3y Combine like terms: 3y + -3y = 0 4 + -1y = -5 + 0 4 + -1y = -5 Add '-4' to each side of the equation. 4 + -4 + -1y = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = -5 + -4 -1y = -5 + -4 Combine like terms: -5 + -4 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9
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