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Simplifying 6(y + -6) = -1(7 + y) Reorder the terms: 6(-6 + y) = -1(7 + y) (-6 * 6 + y * 6) = -1(7 + y) (-36 + 6y) = -1(7 + y) -36 + 6y = (7 * -1 + y * -1) -36 + 6y = (-7 + -1y) Solving -36 + 6y = -7 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -36 + 6y + y = -7 + -1y + y Combine like terms: 6y + y = 7y -36 + 7y = -7 + -1y + y Combine like terms: -1y + y = 0 -36 + 7y = -7 + 0 -36 + 7y = -7 Add '36' to each side of the equation. -36 + 36 + 7y = -7 + 36 Combine like terms: -36 + 36 = 0 0 + 7y = -7 + 36 7y = -7 + 36 Combine like terms: -7 + 36 = 29 7y = 29 Divide each side by '7'. y = 4.142857143 Simplifying y = 4.142857143
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