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