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Simplifying Y + -7(y + -5) = (-8y + 4) + -10 Reorder the terms: Y + -7(-5 + y) = (-8y + 4) + -10 Y + (-5 * -7 + y * -7) = (-8y + 4) + -10 Y + (35 + -7y) = (-8y + 4) + -10 Reorder the terms: 35 + Y + -7y = (-8y + 4) + -10 Reorder the terms: 35 + Y + -7y = (4 + -8y) + -10 Remove parenthesis around (4 + -8y) 35 + Y + -7y = 4 + -8y + -10 Reorder the terms: 35 + Y + -7y = 4 + -10 + -8y Combine like terms: 4 + -10 = -6 35 + Y + -7y = -6 + -8y Solving 35 + Y + -7y = -6 + -8y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + Y + -35 + -7y = -6 + -35 + -8y Reorder the terms: 35 + -35 + Y + -7y = -6 + -35 + -8y Combine like terms: 35 + -35 = 0 0 + Y + -7y = -6 + -35 + -8y Y + -7y = -6 + -35 + -8y Combine like terms: -6 + -35 = -41 Y + -7y = -41 + -8y Add '7y' to each side of the equation. Y + -7y + 7y = -41 + -8y + 7y Combine like terms: -7y + 7y = 0 Y + 0 = -41 + -8y + 7y Y = -41 + -8y + 7y Combine like terms: -8y + 7y = -1y Y = -41 + -1y Simplifying Y = -41 + -1y
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