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Simplifying 5y + 6 + -5y = 3y + -2 Reorder the terms: 6 + 5y + -5y = 3y + -2 Combine like terms: 5y + -5y = 0 6 + 0 = 3y + -2 6 = 3y + -2 Reorder the terms: 6 = -2 + 3y Solving 6 = -2 + 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 + -3y = -2 + 3y + -3y Combine like terms: 3y + -3y = 0 6 + -3y = -2 + 0 6 + -3y = -2 Add '-6' to each side of the equation. 6 + -6 + -3y = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -3y = -2 + -6 -3y = -2 + -6 Combine like terms: -2 + -6 = -8 -3y = -8 Divide each side by '-3'. y = 2.666666667 Simplifying y = 2.666666667
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