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Simplifying 6(y + -6) + -1(-1y + 2) = 26 Reorder the terms: 6(-6 + y) + -1(-1y + 2) = 26 (-6 * 6 + y * 6) + -1(-1y + 2) = 26 (-36 + 6y) + -1(-1y + 2) = 26 Reorder the terms: -36 + 6y + -1(2 + -1y) = 26 -36 + 6y + (2 * -1 + -1y * -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 = 7y -38 + 7y = 26 Solving -38 + 7y = 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 + 7y = 26 + 38 Combine like terms: -38 + 38 = 0 0 + 7y = 26 + 38 7y = 26 + 38 Combine like terms: 26 + 38 = 64 7y = 64 Divide each side by '7'. y = 9.142857143 Simplifying y = 9.142857143
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