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Simplifying -2y + 8 = -2(2y + 3) Reorder the terms: 8 + -2y = -2(2y + 3) Reorder the terms: 8 + -2y = -2(3 + 2y) 8 + -2y = (3 * -2 + 2y * -2) 8 + -2y = (-6 + -4y) Solving 8 + -2y = -6 + -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. 8 + -2y + 4y = -6 + -4y + 4y Combine like terms: -2y + 4y = 2y 8 + 2y = -6 + -4y + 4y Combine like terms: -4y + 4y = 0 8 + 2y = -6 + 0 8 + 2y = -6 Add '-8' to each side of the equation. 8 + -8 + 2y = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 2y = -6 + -8 2y = -6 + -8 Combine like terms: -6 + -8 = -14 2y = -14 Divide each side by '2'. y = -7 Simplifying y = -7
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