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Simplifying -8 = 4(y + 4) + -7y Reorder the terms: -8 = 4(4 + y) + -7y -8 = (4 * 4 + y * 4) + -7y -8 = (16 + 4y) + -7y Combine like terms: 4y + -7y = -3y -8 = 16 + -3y Solving -8 = 16 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -8 + 3y = 16 + -3y + 3y Combine like terms: -3y + 3y = 0 -8 + 3y = 16 + 0 -8 + 3y = 16 Add '8' to each side of the equation. -8 + 8 + 3y = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 3y = 16 + 8 3y = 16 + 8 Combine like terms: 16 + 8 = 24 3y = 24 Divide each side by '3'. y = 8 Simplifying y = 8
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