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Simplifying -9y + -8 + 3y + 7 = -7y + 8y + -5y + 9 Reorder the terms: -8 + 7 + -9y + 3y = -7y + 8y + -5y + 9 Combine like terms: -8 + 7 = -1 -1 + -9y + 3y = -7y + 8y + -5y + 9 Combine like terms: -9y + 3y = -6y -1 + -6y = -7y + 8y + -5y + 9 Reorder the terms: -1 + -6y = 9 + -7y + 8y + -5y Combine like terms: -7y + 8y = 1y -1 + -6y = 9 + 1y + -5y Combine like terms: 1y + -5y = -4y -1 + -6y = 9 + -4y Solving -1 + -6y = 9 + -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. -1 + -6y + 4y = 9 + -4y + 4y Combine like terms: -6y + 4y = -2y -1 + -2y = 9 + -4y + 4y Combine like terms: -4y + 4y = 0 -1 + -2y = 9 + 0 -1 + -2y = 9 Add '1' to each side of the equation. -1 + 1 + -2y = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -2y = 9 + 1 -2y = 9 + 1 Combine like terms: 9 + 1 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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