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Simplifying 6(5y + 7) = 7(4x + -11) Reorder the terms: 6(7 + 5y) = 7(4x + -11) (7 * 6 + 5y * 6) = 7(4x + -11) (42 + 30y) = 7(4x + -11) Reorder the terms: 42 + 30y = 7(-11 + 4x) 42 + 30y = (-11 * 7 + 4x * 7) 42 + 30y = (-77 + 28x) Solving 42 + 30y = -77 + 28x 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 + 30y = -77 + -42 + 28x Combine like terms: 42 + -42 = 0 0 + 30y = -77 + -42 + 28x 30y = -77 + -42 + 28x Combine like terms: -77 + -42 = -119 30y = -119 + 28x Divide each side by '30'. y = -3.966666667 + 0.9333333333x Simplifying y = -3.966666667 + 0.9333333333x
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