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Simplifying 2(2y + 7 + -3z) + y + z = 4 Reorder the terms: 2(7 + 2y + -3z) + y + z = 4 (7 * 2 + 2y * 2 + -3z * 2) + y + z = 4 (14 + 4y + -6z) + y + z = 4 Reorder the terms: 14 + 4y + y + -6z + z = 4 Combine like terms: 4y + y = 5y 14 + 5y + -6z + z = 4 Combine like terms: -6z + z = -5z 14 + 5y + -5z = 4 Solving 14 + 5y + -5z = 4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 5y + -14 + -5z = 4 + -14 Reorder the terms: 14 + -14 + 5y + -5z = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 5y + -5z = 4 + -14 5y + -5z = 4 + -14 Combine like terms: 4 + -14 = -10 5y + -5z = -10 Add '5z' to each side of the equation. 5y + -5z + 5z = -10 + 5z Combine like terms: -5z + 5z = 0 5y + 0 = -10 + 5z 5y = -10 + 5z Divide each side by '5'. y = -2 + z Simplifying y = -2 + z
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