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Simplifying 5y + -3(y + -2) + 6 = 0 Reorder the terms: 5y + -3(-2 + y) + 6 = 0 5y + (-2 * -3 + y * -3) + 6 = 0 5y + (6 + -3y) + 6 = 0 Reorder the terms: 6 + 6 + 5y + -3y = 0 Combine like terms: 6 + 6 = 12 12 + 5y + -3y = 0 Combine like terms: 5y + -3y = 2y 12 + 2y = 0 Solving 12 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2y = 0 + -12 2y = 0 + -12 Combine like terms: 0 + -12 = -12 2y = -12 Divide each side by '2'. y = -6 Simplifying y = -6
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