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Simplifying (Y + -2) + 15 = -3(y + -3) + 6y Reorder the terms: (-2 + Y) + 15 = -3(y + -3) + 6y Remove parenthesis around (-2 + Y) -2 + Y + 15 = -3(y + -3) + 6y Reorder the terms: -2 + 15 + Y = -3(y + -3) + 6y Combine like terms: -2 + 15 = 13 13 + Y = -3(y + -3) + 6y Reorder the terms: 13 + Y = -3(-3 + y) + 6y 13 + Y = (-3 * -3 + y * -3) + 6y 13 + Y = (9 + -3y) + 6y Combine like terms: -3y + 6y = 3y 13 + Y = 9 + 3y Solving 13 + Y = 9 + 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 + -13 + Y = 9 + -13 + 3y Combine like terms: 13 + -13 = 0 0 + Y = 9 + -13 + 3y Y = 9 + -13 + 3y Combine like terms: 9 + -13 = -4 Y = -4 + 3y Simplifying Y = -4 + 3y
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