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Simplifying 6(2y + -1) + -2(3y) = 0 Reorder the terms: 6(-1 + 2y) + -2(3y) = 0 (-1 * 6 + 2y * 6) + -2(3y) = 0 (-6 + 12y) + -2(3y) = 0 Remove parenthesis around (3y) -6 + 12y + -2 * 3y = 0 Multiply -2 * 3 -6 + 12y + -6y = 0 Combine like terms: 12y + -6y = 6y -6 + 6y = 0 Solving -6 + 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 6y = 0 + 6 6y = 0 + 6 Combine like terms: 0 + 6 = 6 6y = 6 Divide each side by '6'. y = 1 Simplifying y = 1
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