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Simplifying 2(7 + 6y) + 15(-1 + y) = -163 (7 * 2 + 6y * 2) + 15(-1 + y) = -163 (14 + 12y) + 15(-1 + y) = -163 14 + 12y + (-1 * 15 + y * 15) = -163 14 + 12y + (-15 + 15y) = -163 Reorder the terms: 14 + -15 + 12y + 15y = -163 Combine like terms: 14 + -15 = -1 -1 + 12y + 15y = -163 Combine like terms: 12y + 15y = 27y -1 + 27y = -163 Solving -1 + 27y = -163 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 27y = -163 + 1 Combine like terms: -1 + 1 = 0 0 + 27y = -163 + 1 27y = -163 + 1 Combine like terms: -163 + 1 = -162 27y = -162 Divide each side by '27'. y = -6 Simplifying y = -6
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