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Simplifying 10(y + z) = 2(3y + 5) (y * 10 + z * 10) = 2(3y + 5) (10y + 10z) = 2(3y + 5) Reorder the terms: 10y + 10z = 2(5 + 3y) 10y + 10z = (5 * 2 + 3y * 2) 10y + 10z = (10 + 6y) Solving 10y + 10z = 10 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 10y + -6y + 10z = 10 + 6y + -6y Combine like terms: 10y + -6y = 4y 4y + 10z = 10 + 6y + -6y Combine like terms: 6y + -6y = 0 4y + 10z = 10 + 0 4y + 10z = 10 Add '-10z' to each side of the equation. 4y + 10z + -10z = 10 + -10z Combine like terms: 10z + -10z = 0 4y + 0 = 10 + -10z 4y = 10 + -10z Divide each side by '4'. y = 2.5 + -2.5z Simplifying y = 2.5 + -2.5z
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