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Simplifying 2 + -1(6y + -21) = 7(x + -2) Reorder the terms: 2 + -1(-21 + 6y) = 7(x + -2) 2 + (-21 * -1 + 6y * -1) = 7(x + -2) 2 + (21 + -6y) = 7(x + -2) Combine like terms: 2 + 21 = 23 23 + -6y = 7(x + -2) Reorder the terms: 23 + -6y = 7(-2 + x) 23 + -6y = (-2 * 7 + x * 7) 23 + -6y = (-14 + 7x) Solving 23 + -6y = -14 + 7x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -6y = -14 + -23 + 7x Combine like terms: 23 + -23 = 0 0 + -6y = -14 + -23 + 7x -6y = -14 + -23 + 7x Combine like terms: -14 + -23 = -37 -6y = -37 + 7x Divide each side by '-6'. y = 6.166666667 + -1.166666667x Simplifying y = 6.166666667 + -1.166666667x
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