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Simplifying 3(5 + y + z) = 15 + y + z (5 * 3 + y * 3 + z * 3) = 15 + y + z (15 + 3y + 3z) = 15 + y + z Add '-15' to each side of the equation. 15 + 3y + -15 + 3z = 15 + y + -15 + z Reorder the terms: 15 + -15 + 3y + 3z = 15 + y + -15 + z Combine like terms: 15 + -15 = 0 0 + 3y + 3z = 15 + y + -15 + z 3y + 3z = 15 + y + -15 + z Reorder the terms: 3y + 3z = 15 + -15 + y + z Combine like terms: 15 + -15 = 0 3y + 3z = 0 + y + z 3y + 3z = y + z Solving 3y + 3z = 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. 3y + -1y + 3z = y + -1y + z Combine like terms: 3y + -1y = 2y 2y + 3z = y + -1y + z Combine like terms: y + -1y = 0 2y + 3z = 0 + z 2y + 3z = z Add '-3z' to each side of the equation. 2y + 3z + -3z = z + -3z Combine like terms: 3z + -3z = 0 2y + 0 = z + -3z 2y = z + -3z Combine like terms: z + -3z = -2z 2y = -2z Divide each side by '2'. y = -1z Simplifying y = -1z
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