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Simplifying (y + -3) + -1(y + 7) = 6y Reorder the terms: (-3 + y) + -1(y + 7) = 6y Remove parenthesis around (-3 + y) -3 + y + -1(y + 7) = 6y Reorder the terms: -3 + y + -1(7 + y) = 6y -3 + y + (7 * -1 + y * -1) = 6y -3 + y + (-7 + -1y) = 6y Reorder the terms: -3 + -7 + y + -1y = 6y Combine like terms: -3 + -7 = -10 -10 + y + -1y = 6y Combine like terms: y + -1y = 0 -10 + 0 = 6y -10 = 6y Solving -10 = 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. -10 + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 -10 + -6y = 0 Add '10' to each side of the equation. -10 + 10 + -6y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -6y = 0 + 10 -6y = 0 + 10 Combine like terms: 0 + 10 = 10 -6y = 10 Divide each side by '-6'. y = -1.666666667 Simplifying y = -1.666666667
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