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Simplifying (6y + 2) + -2(2y + -3) = 0 Reorder the terms: (2 + 6y) + -2(2y + -3) = 0 Remove parenthesis around (2 + 6y) 2 + 6y + -2(2y + -3) = 0 Reorder the terms: 2 + 6y + -2(-3 + 2y) = 0 2 + 6y + (-3 * -2 + 2y * -2) = 0 2 + 6y + (6 + -4y) = 0 Reorder the terms: 2 + 6 + 6y + -4y = 0 Combine like terms: 2 + 6 = 8 8 + 6y + -4y = 0 Combine like terms: 6y + -4y = 2y 8 + 2y = 0 Solving 8 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2y = 0 + -8 2y = 0 + -8 Combine like terms: 0 + -8 = -8 2y = -8 Divide each side by '2'. y = -4 Simplifying y = -4
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