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Simplifying 6(y + -6) + -1(y + 2) = 26 Reorder the terms: 6(-6 + y) + -1(y + 2) = 26 (-6 * 6 + y * 6) + -1(y + 2) = 26 (-36 + 6y) + -1(y + 2) = 26 Reorder the terms: -36 + 6y + -1(2 + y) = 26 -36 + 6y + (2 * -1 + y * -1) = 26 -36 + 6y + (-2 + -1y) = 26 Reorder the terms: -36 + -2 + 6y + -1y = 26 Combine like terms: -36 + -2 = -38 -38 + 6y + -1y = 26 Combine like terms: 6y + -1y = 5y -38 + 5y = 26 Solving -38 + 5y = 26 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 5y = 26 + 38 Combine like terms: -38 + 38 = 0 0 + 5y = 26 + 38 5y = 26 + 38 Combine like terms: 26 + 38 = 64 5y = 64 Divide each side by '5'. y = 12.8 Simplifying y = 12.8
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