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