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Simplifying -3y + 9z + 3 = 4y + -4z + -18 Reorder the terms: 3 + -3y + 9z = 4y + -4z + -18 Reorder the terms: 3 + -3y + 9z = -18 + 4y + -4z Solving 3 + -3y + 9z = -18 + 4y + -4z 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. 3 + -3y + -4y + 9z = -18 + 4y + -4y + -4z Combine like terms: -3y + -4y = -7y 3 + -7y + 9z = -18 + 4y + -4y + -4z Combine like terms: 4y + -4y = 0 3 + -7y + 9z = -18 + 0 + -4z 3 + -7y + 9z = -18 + -4z Add '-3' to each side of the equation. 3 + -7y + -3 + 9z = -18 + -3 + -4z Reorder the terms: 3 + -3 + -7y + 9z = -18 + -3 + -4z Combine like terms: 3 + -3 = 0 0 + -7y + 9z = -18 + -3 + -4z -7y + 9z = -18 + -3 + -4z Combine like terms: -18 + -3 = -21 -7y + 9z = -21 + -4z Add '-9z' to each side of the equation. -7y + 9z + -9z = -21 + -4z + -9z Combine like terms: 9z + -9z = 0 -7y + 0 = -21 + -4z + -9z -7y = -21 + -4z + -9z Combine like terms: -4z + -9z = -13z -7y = -21 + -13z Divide each side by '-7'. y = 3 + 1.857142857z Simplifying y = 3 + 1.857142857z
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