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Simplifying 2z + y + 7 = z + 3y + 11 Reorder the terms: 7 + y + 2z = z + 3y + 11 Reorder the terms: 7 + y + 2z = 11 + 3y + z Solving 7 + y + 2z = 11 + 3y + z 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. 7 + y + -3y + 2z = 11 + 3y + -3y + z Combine like terms: y + -3y = -2y 7 + -2y + 2z = 11 + 3y + -3y + z Combine like terms: 3y + -3y = 0 7 + -2y + 2z = 11 + 0 + z 7 + -2y + 2z = 11 + z Add '-7' to each side of the equation. 7 + -2y + -7 + 2z = 11 + -7 + z Reorder the terms: 7 + -7 + -2y + 2z = 11 + -7 + z Combine like terms: 7 + -7 = 0 0 + -2y + 2z = 11 + -7 + z -2y + 2z = 11 + -7 + z Combine like terms: 11 + -7 = 4 -2y + 2z = 4 + z Add '-2z' to each side of the equation. -2y + 2z + -2z = 4 + z + -2z Combine like terms: 2z + -2z = 0 -2y + 0 = 4 + z + -2z -2y = 4 + z + -2z Combine like terms: z + -2z = -1z -2y = 4 + -1z Divide each side by '-2'. y = -2 + 0.5z Simplifying y = -2 + 0.5z
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