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Simplifying 6(y + -7) = 5(x + -4) Reorder the terms: 6(-7 + y) = 5(x + -4) (-7 * 6 + y * 6) = 5(x + -4) (-42 + 6y) = 5(x + -4) Reorder the terms: -42 + 6y = 5(-4 + x) -42 + 6y = (-4 * 5 + x * 5) -42 + 6y = (-20 + 5x) Solving -42 + 6y = -20 + 5x 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 + 6y = -20 + 42 + 5x Combine like terms: -42 + 42 = 0 0 + 6y = -20 + 42 + 5x 6y = -20 + 42 + 5x Combine like terms: -20 + 42 = 22 6y = 22 + 5x Divide each side by '6'. y = 3.666666667 + 0.8333333333x Simplifying y = 3.666666667 + 0.8333333333x
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