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Simplifying 2(y + -7) + 2y = 3(4 + y) + -1 Reorder the terms: 2(-7 + y) + 2y = 3(4 + y) + -1 (-7 * 2 + y * 2) + 2y = 3(4 + y) + -1 (-14 + 2y) + 2y = 3(4 + y) + -1 Combine like terms: 2y + 2y = 4y -14 + 4y = 3(4 + y) + -1 -14 + 4y = (4 * 3 + y * 3) + -1 -14 + 4y = (12 + 3y) + -1 Reorder the terms: -14 + 4y = 12 + -1 + 3y Combine like terms: 12 + -1 = 11 -14 + 4y = 11 + 3y Solving -14 + 4y = 11 + 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. -14 + 4y + -3y = 11 + 3y + -3y Combine like terms: 4y + -3y = 1y -14 + 1y = 11 + 3y + -3y Combine like terms: 3y + -3y = 0 -14 + 1y = 11 + 0 -14 + 1y = 11 Add '14' to each side of the equation. -14 + 14 + 1y = 11 + 14 Combine like terms: -14 + 14 = 0 0 + 1y = 11 + 14 1y = 11 + 14 Combine like terms: 11 + 14 = 25 1y = 25 Divide each side by '1'. y = 25 Simplifying y = 25
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