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Simplifying (2x + -4y) * 3 + 5z = 6x + -4y + 5z Reorder the terms for easier multiplication: 3(2x + -4y) + 5z = 6x + -4y + 5z (2x * 3 + -4y * 3) + 5z = 6x + -4y + 5z (6x + -12y) + 5z = 6x + -4y + 5z Add '-6x' to each side of the equation. 6x + -12y + -6x + 5z = 6x + -4y + -6x + 5z Reorder the terms: 6x + -6x + -12y + 5z = 6x + -4y + -6x + 5z Combine like terms: 6x + -6x = 0 0 + -12y + 5z = 6x + -4y + -6x + 5z -12y + 5z = 6x + -4y + -6x + 5z Reorder the terms: -12y + 5z = 6x + -6x + -4y + 5z Combine like terms: 6x + -6x = 0 -12y + 5z = 0 + -4y + 5z -12y + 5z = -4y + 5z Add '-5z' to each side of the equation. -12y + 5z + -5z = -4y + 5z + -5z Combine like terms: 5z + -5z = 0 -12y + 0 = -4y + 5z + -5z -12y = -4y + 5z + -5z Combine like terms: 5z + -5z = 0 -12y = -4y + 0 -12y = -4y Solving -12y = -4y 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. -12y + 4y = -4y + 4y Combine like terms: -12y + 4y = -8y -8y = -4y + 4y Combine like terms: -4y + 4y = 0 -8y = 0 Divide each side by '-8'. y = 0 Simplifying y = 0
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