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Simplifying 7y + 3(4y + -1) = -79 Reorder the terms: 7y + 3(-1 + 4y) = -79 7y + (-1 * 3 + 4y * 3) = -79 7y + (-3 + 12y) = -79 Reorder the terms: -3 + 7y + 12y = -79 Combine like terms: 7y + 12y = 19y -3 + 19y = -79 Solving -3 + 19y = -79 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 19y = -79 + 3 Combine like terms: -3 + 3 = 0 0 + 19y = -79 + 3 19y = -79 + 3 Combine like terms: -79 + 3 = -76 19y = -76 Divide each side by '19'. y = -4 Simplifying y = -4
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