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Simplifying -4(y + 1) = -7y + 8 Reorder the terms: -4(1 + y) = -7y + 8 (1 * -4 + y * -4) = -7y + 8 (-4 + -4y) = -7y + 8 Reorder the terms: -4 + -4y = 8 + -7y Solving -4 + -4y = 8 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -4 + -4y + 7y = 8 + -7y + 7y Combine like terms: -4y + 7y = 3y -4 + 3y = 8 + -7y + 7y Combine like terms: -7y + 7y = 0 -4 + 3y = 8 + 0 -4 + 3y = 8 Add '4' to each side of the equation. -4 + 4 + 3y = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 3y = 8 + 4 3y = 8 + 4 Combine like terms: 8 + 4 = 12 3y = 12 Divide each side by '3'. y = 4 Simplifying y = 4
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