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Simplifying y + -1(y + 2) = 7 + -1(2y + 1) Reorder the terms: y + -1(2 + y) = 7 + -1(2y + 1) y + (2 * -1 + y * -1) = 7 + -1(2y + 1) y + (-2 + -1y) = 7 + -1(2y + 1) Reorder the terms: -2 + y + -1y = 7 + -1(2y + 1) Combine like terms: y + -1y = 0 -2 + 0 = 7 + -1(2y + 1) -2 = 7 + -1(2y + 1) Reorder the terms: -2 = 7 + -1(1 + 2y) -2 = 7 + (1 * -1 + 2y * -1) -2 = 7 + (-1 + -2y) Combine like terms: 7 + -1 = 6 -2 = 6 + -2y Solving -2 = 6 + -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. -2 + 2y = 6 + -2y + 2y Combine like terms: -2y + 2y = 0 -2 + 2y = 6 + 0 -2 + 2y = 6 Add '2' to each side of the equation. -2 + 2 + 2y = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 2y = 6 + 2 2y = 6 + 2 Combine like terms: 6 + 2 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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