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Simplifying -22 = 5(y + -6) + 3Y Reorder the terms: -22 = 5(-6 + y) + 3Y -22 = (-6 * 5 + y * 5) + 3Y -22 = (-30 + 5y) + 3Y Reorder the terms: -22 = -30 + 3Y + 5y Solving -22 = -30 + 3Y + 5y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-3Y' to each side of the equation. -22 + -3Y = -30 + 3Y + -3Y + 5y Combine like terms: 3Y + -3Y = 0 -22 + -3Y = -30 + 0 + 5y -22 + -3Y = -30 + 5y Add '22' to each side of the equation. -22 + 22 + -3Y = -30 + 22 + 5y Combine like terms: -22 + 22 = 0 0 + -3Y = -30 + 22 + 5y -3Y = -30 + 22 + 5y Combine like terms: -30 + 22 = -8 -3Y = -8 + 5y Divide each side by '-3'. Y = 2.666666667 + -1.666666667y Simplifying Y = 2.666666667 + -1.666666667y
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