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Simplifying -4y + 8 = -1(2y + 4) Reorder the terms: 8 + -4y = -1(2y + 4) Reorder the terms: 8 + -4y = -1(4 + 2y) 8 + -4y = (4 * -1 + 2y * -1) 8 + -4y = (-4 + -2y) Solving 8 + -4y = -4 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 8 + -4y + 2y = -4 + -2y + 2y Combine like terms: -4y + 2y = -2y 8 + -2y = -4 + -2y + 2y Combine like terms: -2y + 2y = 0 8 + -2y = -4 + 0 8 + -2y = -4 Add '-8' to each side of the equation. 8 + -8 + -2y = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -2y = -4 + -8 -2y = -4 + -8 Combine like terms: -4 + -8 = -12 -2y = -12 Divide each side by '-2'. y = 6 Simplifying y = 6
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