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Simplifying (Y + -11) + -1(y + 8) = 4y Reorder the terms: (-11 + Y) + -1(y + 8) = 4y Remove parenthesis around (-11 + Y) -11 + Y + -1(y + 8) = 4y Reorder the terms: -11 + Y + -1(8 + y) = 4y -11 + Y + (8 * -1 + y * -1) = 4y -11 + Y + (-8 + -1y) = 4y Reorder the terms: -11 + -8 + Y + -1y = 4y Combine like terms: -11 + -8 = -19 -19 + Y + -1y = 4y Solving -19 + Y + -1y = 4y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + Y + 19 + -1y = 19 + 4y Reorder the terms: -19 + 19 + Y + -1y = 19 + 4y Combine like terms: -19 + 19 = 0 0 + Y + -1y = 19 + 4y Y + -1y = 19 + 4y Add 'y' to each side of the equation. Y + -1y + y = 19 + 4y + y Combine like terms: -1y + y = 0 Y + 0 = 19 + 4y + y Y = 19 + 4y + y Combine like terms: 4y + y = 5y Y = 19 + 5y Simplifying Y = 19 + 5y
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