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Simplifying (Y + -7) + -1(y + 6) = 3y Reorder the terms: (-7 + Y) + -1(y + 6) = 3y Remove parenthesis around (-7 + Y) -7 + Y + -1(y + 6) = 3y Reorder the terms: -7 + Y + -1(6 + y) = 3y -7 + Y + (6 * -1 + y * -1) = 3y -7 + Y + (-6 + -1y) = 3y Reorder the terms: -7 + -6 + Y + -1y = 3y Combine like terms: -7 + -6 = -13 -13 + Y + -1y = 3y Solving -13 + Y + -1y = 3y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + Y + 13 + -1y = 13 + 3y Reorder the terms: -13 + 13 + Y + -1y = 13 + 3y Combine like terms: -13 + 13 = 0 0 + Y + -1y = 13 + 3y Y + -1y = 13 + 3y Add 'y' to each side of the equation. Y + -1y + y = 13 + 3y + y Combine like terms: -1y + y = 0 Y + 0 = 13 + 3y + y Y = 13 + 3y + y Combine like terms: 3y + y = 4y Y = 13 + 4y Simplifying Y = 13 + 4y
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