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Simplifying -3(y + 4) = -7y + 8 Reorder the terms: -3(4 + y) = -7y + 8 (4 * -3 + y * -3) = -7y + 8 (-12 + -3y) = -7y + 8 Reorder the terms: -12 + -3y = 8 + -7y Solving -12 + -3y = 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. -12 + -3y + 7y = 8 + -7y + 7y Combine like terms: -3y + 7y = 4y -12 + 4y = 8 + -7y + 7y Combine like terms: -7y + 7y = 0 -12 + 4y = 8 + 0 -12 + 4y = 8 Add '12' to each side of the equation. -12 + 12 + 4y = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 4y = 8 + 12 4y = 8 + 12 Combine like terms: 8 + 12 = 20 4y = 20 Divide each side by '4'. y = 5 Simplifying y = 5
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