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Simplifying 3 + -1(6y + -22) = 7(x + -3) Reorder the terms: 3 + -1(-22 + 6y) = 7(x + -3) 3 + (-22 * -1 + 6y * -1) = 7(x + -3) 3 + (22 + -6y) = 7(x + -3) Combine like terms: 3 + 22 = 25 25 + -6y = 7(x + -3) Reorder the terms: 25 + -6y = 7(-3 + x) 25 + -6y = (-3 * 7 + x * 7) 25 + -6y = (-21 + 7x) Solving 25 + -6y = -21 + 7x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -6y = -21 + -25 + 7x Combine like terms: 25 + -25 = 0 0 + -6y = -21 + -25 + 7x -6y = -21 + -25 + 7x Combine like terms: -21 + -25 = -46 -6y = -46 + 7x Divide each side by '-6'. y = 7.666666667 + -1.166666667x Simplifying y = 7.666666667 + -1.166666667x
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