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Simplifying 2y + 2z = 15 + y + z Solving 2y + 2z = 15 + y + z Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 2y + -1y + 2z = 15 + y + -1y + z Combine like terms: 2y + -1y = 1y 1y + 2z = 15 + y + -1y + z Combine like terms: y + -1y = 0 1y + 2z = 15 + 0 + z 1y + 2z = 15 + z Add '-2z' to each side of the equation. 1y + 2z + -2z = 15 + z + -2z Combine like terms: 2z + -2z = 0 1y + 0 = 15 + z + -2z 1y = 15 + z + -2z Combine like terms: z + -2z = -1z 1y = 15 + -1z Divide each side by '1'. y = 15 + -1z Simplifying y = 15 + -1z
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