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