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