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Simplifying 6(2y + -1) + -2(3y) = 3 Reorder the terms: 6(-1 + 2y) + -2(3y) = 3 (-1 * 6 + 2y * 6) + -2(3y) = 3 (-6 + 12y) + -2(3y) = 3 Remove parenthesis around (3y) -6 + 12y + -2 * 3y = 3 Multiply -2 * 3 -6 + 12y + -6y = 3 Combine like terms: 12y + -6y = 6y -6 + 6y = 3 Solving -6 + 6y = 3 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 = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 6y = 3 + 6 6y = 3 + 6 Combine like terms: 3 + 6 = 9 6y = 9 Divide each side by '6'. y = 1.5 Simplifying y = 1.5
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