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Simplifying -1(7 + y) = 9 + -1(3y + -4) (7 * -1 + y * -1) = 9 + -1(3y + -4) (-7 + -1y) = 9 + -1(3y + -4) Reorder the terms: -7 + -1y = 9 + -1(-4 + 3y) -7 + -1y = 9 + (-4 * -1 + 3y * -1) -7 + -1y = 9 + (4 + -3y) Combine like terms: 9 + 4 = 13 -7 + -1y = 13 + -3y Solving -7 + -1y = 13 + -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. -7 + -1y + 3y = 13 + -3y + 3y Combine like terms: -1y + 3y = 2y -7 + 2y = 13 + -3y + 3y Combine like terms: -3y + 3y = 0 -7 + 2y = 13 + 0 -7 + 2y = 13 Add '7' to each side of the equation. -7 + 7 + 2y = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 2y = 13 + 7 2y = 13 + 7 Combine like terms: 13 + 7 = 20 2y = 20 Divide each side by '2'. y = 10 Simplifying y = 10
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