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Simplifying 19 + 2y + -2 = 12z + -13 + -4y Reorder the terms: 19 + -2 + 2y = 12z + -13 + -4y Combine like terms: 19 + -2 = 17 17 + 2y = 12z + -13 + -4y Reorder the terms: 17 + 2y = -13 + -4y + 12z Solving 17 + 2y = -13 + -4y + 12z Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 17 + 2y + 4y = -13 + -4y + 4y + 12z Combine like terms: 2y + 4y = 6y 17 + 6y = -13 + -4y + 4y + 12z Combine like terms: -4y + 4y = 0 17 + 6y = -13 + 0 + 12z 17 + 6y = -13 + 12z Add '-17' to each side of the equation. 17 + -17 + 6y = -13 + -17 + 12z Combine like terms: 17 + -17 = 0 0 + 6y = -13 + -17 + 12z 6y = -13 + -17 + 12z Combine like terms: -13 + -17 = -30 6y = -30 + 12z Divide each side by '6'. y = -5 + 2z Simplifying y = -5 + 2z
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