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Simplifying (y + -3) + -1(Y + 3) = 7y Reorder the terms: (-3 + y) + -1(Y + 3) = 7y Remove parenthesis around (-3 + y) -3 + y + -1(Y + 3) = 7y Reorder the terms: -3 + y + -1(3 + Y) = 7y -3 + y + (3 * -1 + Y * -1) = 7y -3 + y + (-3 + -1Y) = 7y Reorder the terms: -3 + -3 + -1Y + y = 7y Combine like terms: -3 + -3 = -6 -6 + -1Y + y = 7y Solving -6 + -1Y + y = 7y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -1Y + 6 + y = 6 + 7y Reorder the terms: -6 + 6 + -1Y + y = 6 + 7y Combine like terms: -6 + 6 = 0 0 + -1Y + y = 6 + 7y -1Y + y = 6 + 7y Add '-1y' to each side of the equation. -1Y + y + -1y = 6 + 7y + -1y Combine like terms: y + -1y = 0 -1Y + 0 = 6 + 7y + -1y -1Y = 6 + 7y + -1y Combine like terms: 7y + -1y = 6y -1Y = 6 + 6y Divide each side by '-1'. Y = -6 + -6y Simplifying Y = -6 + -6y
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