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Simplifying (100x + 10z + y) + -1(100x + 10y + 10z) = 36 Reorder the terms: (100x + y + 10z) + -1(100x + 10y + 10z) = 36 Remove parenthesis around (100x + y + 10z) 100x + y + 10z + -1(100x + 10y + 10z) = 36 100x + y + 10z + (100x * -1 + 10y * -1 + 10z * -1) = 36 100x + y + 10z + (-100x + -10y + -10z) = 36 Reorder the terms: 100x + -100x + y + -10y + 10z + -10z = 36 Combine like terms: 100x + -100x = 0 0 + y + -10y + 10z + -10z = 36 y + -10y + 10z + -10z = 36 Combine like terms: y + -10y = -9y -9y + 10z + -10z = 36 Combine like terms: 10z + -10z = 0 -9y + 0 = 36 -9y = 36 Solving -9y = 36 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '-9'. y = -4 Simplifying y = -4
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