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Simplifying 9y + (-3y + -5) = 4y + -7 Reorder the terms: 9y + (-5 + -3y) = 4y + -7 Remove parenthesis around (-5 + -3y) 9y + -5 + -3y = 4y + -7 Reorder the terms: -5 + 9y + -3y = 4y + -7 Combine like terms: 9y + -3y = 6y -5 + 6y = 4y + -7 Reorder the terms: -5 + 6y = -7 + 4y Solving -5 + 6y = -7 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -5 + 6y + -4y = -7 + 4y + -4y Combine like terms: 6y + -4y = 2y -5 + 2y = -7 + 4y + -4y Combine like terms: 4y + -4y = 0 -5 + 2y = -7 + 0 -5 + 2y = -7 Add '5' to each side of the equation. -5 + 5 + 2y = -7 + 5 Combine like terms: -5 + 5 = 0 0 + 2y = -7 + 5 2y = -7 + 5 Combine like terms: -7 + 5 = -2 2y = -2 Divide each side by '2'. y = -1 Simplifying y = -1
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