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Simplifying Y + -6(y + -4) = (-8y + 15) + -5 Reorder the terms: Y + -6(-4 + y) = (-8y + 15) + -5 Y + (-4 * -6 + y * -6) = (-8y + 15) + -5 Y + (24 + -6y) = (-8y + 15) + -5 Reorder the terms: 24 + Y + -6y = (-8y + 15) + -5 Reorder the terms: 24 + Y + -6y = (15 + -8y) + -5 Remove parenthesis around (15 + -8y) 24 + Y + -6y = 15 + -8y + -5 Reorder the terms: 24 + Y + -6y = 15 + -5 + -8y Combine like terms: 15 + -5 = 10 24 + Y + -6y = 10 + -8y Solving 24 + Y + -6y = 10 + -8y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + Y + -24 + -6y = 10 + -24 + -8y Reorder the terms: 24 + -24 + Y + -6y = 10 + -24 + -8y Combine like terms: 24 + -24 = 0 0 + Y + -6y = 10 + -24 + -8y Y + -6y = 10 + -24 + -8y Combine like terms: 10 + -24 = -14 Y + -6y = -14 + -8y Add '6y' to each side of the equation. Y + -6y + 6y = -14 + -8y + 6y Combine like terms: -6y + 6y = 0 Y + 0 = -14 + -8y + 6y Y = -14 + -8y + 6y Combine like terms: -8y + 6y = -2y Y = -14 + -2y Simplifying Y = -14 + -2y
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