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Simplifying 7(y + -5) + -9 = (-6y + 7) + -8y Reorder the terms: 7(-5 + y) + -9 = (-6y + 7) + -8y (-5 * 7 + y * 7) + -9 = (-6y + 7) + -8y (-35 + 7y) + -9 = (-6y + 7) + -8y Reorder the terms: -35 + -9 + 7y = (-6y + 7) + -8y Combine like terms: -35 + -9 = -44 -44 + 7y = (-6y + 7) + -8y Reorder the terms: -44 + 7y = (7 + -6y) + -8y Remove parenthesis around (7 + -6y) -44 + 7y = 7 + -6y + -8y Combine like terms: -6y + -8y = -14y -44 + 7y = 7 + -14y Solving -44 + 7y = 7 + -14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14y' to each side of the equation. -44 + 7y + 14y = 7 + -14y + 14y Combine like terms: 7y + 14y = 21y -44 + 21y = 7 + -14y + 14y Combine like terms: -14y + 14y = 0 -44 + 21y = 7 + 0 -44 + 21y = 7 Add '44' to each side of the equation. -44 + 44 + 21y = 7 + 44 Combine like terms: -44 + 44 = 0 0 + 21y = 7 + 44 21y = 7 + 44 Combine like terms: 7 + 44 = 51 21y = 51 Divide each side by '21'. y = 2.428571429 Simplifying y = 2.428571429
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