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Simplifying 3y + 6 = 3x + 5y + -4 Reorder the terms: 6 + 3y = 3x + 5y + -4 Reorder the terms: 6 + 3y = -4 + 3x + 5y Solving 6 + 3y = -4 + 3x + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 6 + 3y + -5y = -4 + 3x + 5y + -5y Combine like terms: 3y + -5y = -2y 6 + -2y = -4 + 3x + 5y + -5y Combine like terms: 5y + -5y = 0 6 + -2y = -4 + 3x + 0 6 + -2y = -4 + 3x Add '-6' to each side of the equation. 6 + -6 + -2y = -4 + -6 + 3x Combine like terms: 6 + -6 = 0 0 + -2y = -4 + -6 + 3x -2y = -4 + -6 + 3x Combine like terms: -4 + -6 = -10 -2y = -10 + 3x Divide each side by '-2'. y = 5 + -1.5x Simplifying y = 5 + -1.5x
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