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Simplifying 6y + 10 + -3y = 9 + 2y + -4 Reorder the terms: 10 + 6y + -3y = 9 + 2y + -4 Combine like terms: 6y + -3y = 3y 10 + 3y = 9 + 2y + -4 Reorder the terms: 10 + 3y = 9 + -4 + 2y Combine like terms: 9 + -4 = 5 10 + 3y = 5 + 2y Solving 10 + 3y = 5 + 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. 10 + 3y + -2y = 5 + 2y + -2y Combine like terms: 3y + -2y = 1y 10 + 1y = 5 + 2y + -2y Combine like terms: 2y + -2y = 0 10 + 1y = 5 + 0 10 + 1y = 5 Add '-10' to each side of the equation. 10 + -10 + 1y = 5 + -10 Combine like terms: 10 + -10 = 0 0 + 1y = 5 + -10 1y = 5 + -10 Combine like terms: 5 + -10 = -5 1y = -5 Divide each side by '1'. y = -5 Simplifying y = -5
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