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Simplifying 7(7 + -8) = 6(7 + y) Combine like terms: 7 + -8 = -1 7(-1) = 6(7 + y) Multiply 7 * -1 -7 = 6(7 + y) -7 = (7 * 6 + y * 6) -7 = (42 + 6y) Solving -7 = 42 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -7 + -6y = 42 + 6y + -6y Combine like terms: 6y + -6y = 0 -7 + -6y = 42 + 0 -7 + -6y = 42 Add '7' to each side of the equation. -7 + 7 + -6y = 42 + 7 Combine like terms: -7 + 7 = 0 0 + -6y = 42 + 7 -6y = 42 + 7 Combine like terms: 42 + 7 = 49 -6y = 49 Divide each side by '-6'. y = -8.166666667 Simplifying y = -8.166666667
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