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Simplifying 5 + 2y + -3 = 6y + 10 + -3y Reorder the terms: 5 + -3 + 2y = 6y + 10 + -3y Combine like terms: 5 + -3 = 2 2 + 2y = 6y + 10 + -3y Reorder the terms: 2 + 2y = 10 + 6y + -3y Combine like terms: 6y + -3y = 3y 2 + 2y = 10 + 3y Solving 2 + 2y = 10 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 2 + 2y + -3y = 10 + 3y + -3y Combine like terms: 2y + -3y = -1y 2 + -1y = 10 + 3y + -3y Combine like terms: 3y + -3y = 0 2 + -1y = 10 + 0 2 + -1y = 10 Add '-2' to each side of the equation. 2 + -2 + -1y = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 10 + -2 -1y = 10 + -2 Combine like terms: 10 + -2 = 8 -1y = 8 Divide each side by '-1'. y = -8 Simplifying y = -8
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