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Simplifying 5y + 8 = 2y + -3x + 5 Reorder the terms: 8 + 5y = 2y + -3x + 5 Reorder the terms: 8 + 5y = 5 + -3x + 2y Solving 8 + 5y = 5 + -3x + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 8 + 5y + -2y = 5 + -3x + 2y + -2y Combine like terms: 5y + -2y = 3y 8 + 3y = 5 + -3x + 2y + -2y Combine like terms: 2y + -2y = 0 8 + 3y = 5 + -3x + 0 8 + 3y = 5 + -3x Add '-8' to each side of the equation. 8 + -8 + 3y = 5 + -8 + -3x Combine like terms: 8 + -8 = 0 0 + 3y = 5 + -8 + -3x 3y = 5 + -8 + -3x Combine like terms: 5 + -8 = -3 3y = -3 + -3x Divide each side by '3'. y = -1 + -1x Simplifying y = -1 + -1x
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