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Simplifying 8 + 2y + -2 = 6y + 10 + -3y Reorder the terms: 8 + -2 + 2y = 6y + 10 + -3y Combine like terms: 8 + -2 = 6 6 + 2y = 6y + 10 + -3y Reorder the terms: 6 + 2y = 10 + 6y + -3y Combine like terms: 6y + -3y = 3y 6 + 2y = 10 + 3y Solving 6 + 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. 6 + 2y + -3y = 10 + 3y + -3y Combine like terms: 2y + -3y = -1y 6 + -1y = 10 + 3y + -3y Combine like terms: 3y + -3y = 0 6 + -1y = 10 + 0 6 + -1y = 10 Add '-6' to each side of the equation. 6 + -6 + -1y = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 10 + -6 -1y = 10 + -6 Combine like terms: 10 + -6 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4
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