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Simplifying Y + -8(y + 5) = 13y Reorder the terms: Y + -8(5 + y) = 13y Y + (5 * -8 + y * -8) = 13y Y + (-40 + -8y) = 13y Reorder the terms: -40 + Y + -8y = 13y Solving -40 + Y + -8y = 13y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '40' to each side of the equation. -40 + Y + 40 + -8y = 40 + 13y Reorder the terms: -40 + 40 + Y + -8y = 40 + 13y Combine like terms: -40 + 40 = 0 0 + Y + -8y = 40 + 13y Y + -8y = 40 + 13y Add '8y' to each side of the equation. Y + -8y + 8y = 40 + 13y + 8y Combine like terms: -8y + 8y = 0 Y + 0 = 40 + 13y + 8y Y = 40 + 13y + 8y Combine like terms: 13y + 8y = 21y Y = 40 + 21y Simplifying Y = 40 + 21y
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