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Simplifying 2(y + 7) = 4(2y + -1) Reorder the terms: 2(7 + y) = 4(2y + -1) (7 * 2 + y * 2) = 4(2y + -1) (14 + 2y) = 4(2y + -1) Reorder the terms: 14 + 2y = 4(-1 + 2y) 14 + 2y = (-1 * 4 + 2y * 4) 14 + 2y = (-4 + 8y) Solving 14 + 2y = -4 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 14 + 2y + -8y = -4 + 8y + -8y Combine like terms: 2y + -8y = -6y 14 + -6y = -4 + 8y + -8y Combine like terms: 8y + -8y = 0 14 + -6y = -4 + 0 14 + -6y = -4 Add '-14' to each side of the equation. 14 + -14 + -6y = -4 + -14 Combine like terms: 14 + -14 = 0 0 + -6y = -4 + -14 -6y = -4 + -14 Combine like terms: -4 + -14 = -18 -6y = -18 Divide each side by '-6'. y = 3 Simplifying y = 3
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