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Simplifying -2y + 4 = -2(2y + 7) Reorder the terms: 4 + -2y = -2(2y + 7) Reorder the terms: 4 + -2y = -2(7 + 2y) 4 + -2y = (7 * -2 + 2y * -2) 4 + -2y = (-14 + -4y) Solving 4 + -2y = -14 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 4 + -2y + 4y = -14 + -4y + 4y Combine like terms: -2y + 4y = 2y 4 + 2y = -14 + -4y + 4y Combine like terms: -4y + 4y = 0 4 + 2y = -14 + 0 4 + 2y = -14 Add '-4' to each side of the equation. 4 + -4 + 2y = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 2y = -14 + -4 2y = -14 + -4 Combine like terms: -14 + -4 = -18 2y = -18 Divide each side by '2'. y = -9 Simplifying y = -9
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