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Simplifying 5y + -7y + 9 = -4y + 49 + -8y Reorder the terms: 9 + 5y + -7y = -4y + 49 + -8y Combine like terms: 5y + -7y = -2y 9 + -2y = -4y + 49 + -8y Reorder the terms: 9 + -2y = 49 + -4y + -8y Combine like terms: -4y + -8y = -12y 9 + -2y = 49 + -12y Solving 9 + -2y = 49 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. 9 + -2y + 12y = 49 + -12y + 12y Combine like terms: -2y + 12y = 10y 9 + 10y = 49 + -12y + 12y Combine like terms: -12y + 12y = 0 9 + 10y = 49 + 0 9 + 10y = 49 Add '-9' to each side of the equation. 9 + -9 + 10y = 49 + -9 Combine like terms: 9 + -9 = 0 0 + 10y = 49 + -9 10y = 49 + -9 Combine like terms: 49 + -9 = 40 10y = 40 Divide each side by '10'. y = 4 Simplifying y = 4
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