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Simplifying 7(6 + -1y) = -3(x + -2) (6 * 7 + -1y * 7) = -3(x + -2) (42 + -7y) = -3(x + -2) Reorder the terms: 42 + -7y = -3(-2 + x) 42 + -7y = (-2 * -3 + x * -3) 42 + -7y = (6 + -3x) Solving 42 + -7y = 6 + -3x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -7y = 6 + -42 + -3x Combine like terms: 42 + -42 = 0 0 + -7y = 6 + -42 + -3x -7y = 6 + -42 + -3x Combine like terms: 6 + -42 = -36 -7y = -36 + -3x Divide each side by '-7'. y = 5.142857143 + 0.4285714286x Simplifying y = 5.142857143 + 0.4285714286x
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