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Simplifying 5y + 3 + -5 = 8y + -4 + 9 Reorder the terms: 3 + -5 + 5y = 8y + -4 + 9 Combine like terms: 3 + -5 = -2 -2 + 5y = 8y + -4 + 9 Reorder the terms: -2 + 5y = -4 + 9 + 8y Combine like terms: -4 + 9 = 5 -2 + 5y = 5 + 8y Solving -2 + 5y = 5 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -2 + 5y + -8y = 5 + 8y + -8y Combine like terms: 5y + -8y = -3y -2 + -3y = 5 + 8y + -8y Combine like terms: 8y + -8y = 0 -2 + -3y = 5 + 0 -2 + -3y = 5 Add '2' to each side of the equation. -2 + 2 + -3y = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -3y = 5 + 2 -3y = 5 + 2 Combine like terms: 5 + 2 = 7 -3y = 7 Divide each side by '-3'. y = -2.333333333 Simplifying y = -2.333333333
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