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Simplifying -1(2y + -6) = 2(7 + -3y) Reorder the terms: -1(-6 + 2y) = 2(7 + -3y) (-6 * -1 + 2y * -1) = 2(7 + -3y) (6 + -2y) = 2(7 + -3y) 6 + -2y = (7 * 2 + -3y * 2) 6 + -2y = (14 + -6y) Solving 6 + -2y = 14 + -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 + -2y + 6y = 14 + -6y + 6y Combine like terms: -2y + 6y = 4y 6 + 4y = 14 + -6y + 6y Combine like terms: -6y + 6y = 0 6 + 4y = 14 + 0 6 + 4y = 14 Add '-6' to each side of the equation. 6 + -6 + 4y = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 4y = 14 + -6 4y = 14 + -6 Combine like terms: 14 + -6 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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