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Simplifying 10 + -1(4 + -6y) = 12 + y + -1(3 + -2y) 10 + (4 * -1 + -6y * -1) = 12 + y + -1(3 + -2y) 10 + (-4 + 6y) = 12 + y + -1(3 + -2y) Combine like terms: 10 + -4 = 6 6 + 6y = 12 + y + -1(3 + -2y) 6 + 6y = 12 + y + (3 * -1 + -2y * -1) 6 + 6y = 12 + y + (-3 + 2y) Reorder the terms: 6 + 6y = 12 + -3 + y + 2y Combine like terms: 12 + -3 = 9 6 + 6y = 9 + y + 2y Combine like terms: y + 2y = 3y 6 + 6y = 9 + 3y Solving 6 + 6y = 9 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 6 + 6y + -3y = 9 + 3y + -3y Combine like terms: 6y + -3y = 3y 6 + 3y = 9 + 3y + -3y Combine like terms: 3y + -3y = 0 6 + 3y = 9 + 0 6 + 3y = 9 Add '-6' to each side of the equation. 6 + -6 + 3y = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 3y = 9 + -6 3y = 9 + -6 Combine like terms: 9 + -6 = 3 3y = 3 Divide each side by '3'. y = 1 Simplifying y = 1
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