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Simplifying 6y + 2z = a + 3y Solving 6y + 2z = a + 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. 6y + -3y + 2z = a + 3y + -3y Combine like terms: 6y + -3y = 3y 3y + 2z = a + 3y + -3y Combine like terms: 3y + -3y = 0 3y + 2z = a + 0 3y + 2z = a Add '-2z' to each side of the equation. 3y + 2z + -2z = a + -2z Combine like terms: 2z + -2z = 0 3y + 0 = a + -2z 3y = a + -2z Divide each side by '3'. y = 0.3333333333a + -0.6666666667z Simplifying y = 0.3333333333a + -0.6666666667z
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