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Simplifying 3(y + -1) + -1(y + 2) = 7 Reorder the terms: 3(-1 + y) + -1(y + 2) = 7 (-1 * 3 + y * 3) + -1(y + 2) = 7 (-3 + 3y) + -1(y + 2) = 7 Reorder the terms: -3 + 3y + -1(2 + y) = 7 -3 + 3y + (2 * -1 + y * -1) = 7 -3 + 3y + (-2 + -1y) = 7 Reorder the terms: -3 + -2 + 3y + -1y = 7 Combine like terms: -3 + -2 = -5 -5 + 3y + -1y = 7 Combine like terms: 3y + -1y = 2y -5 + 2y = 7 Solving -5 + 2y = 7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2y = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 2y = 7 + 5 2y = 7 + 5 Combine like terms: 7 + 5 = 12 2y = 12 Divide each side by '2'. y = 6 Simplifying y = 6
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