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Simplifying 4(2z + -5) + 3y = 11y + -4 + -8z Reorder the terms: 4(-5 + 2z) + 3y = 11y + -4 + -8z (-5 * 4 + 2z * 4) + 3y = 11y + -4 + -8z (-20 + 8z) + 3y = 11y + -4 + -8z Reorder the terms: -20 + 3y + 8z = 11y + -4 + -8z Reorder the terms: -20 + 3y + 8z = -4 + 11y + -8z Solving -20 + 3y + 8z = -4 + 11y + -8z Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. -20 + 3y + -11y + 8z = -4 + 11y + -11y + -8z Combine like terms: 3y + -11y = -8y -20 + -8y + 8z = -4 + 11y + -11y + -8z Combine like terms: 11y + -11y = 0 -20 + -8y + 8z = -4 + 0 + -8z -20 + -8y + 8z = -4 + -8z Add '20' to each side of the equation. -20 + -8y + 20 + 8z = -4 + 20 + -8z Reorder the terms: -20 + 20 + -8y + 8z = -4 + 20 + -8z Combine like terms: -20 + 20 = 0 0 + -8y + 8z = -4 + 20 + -8z -8y + 8z = -4 + 20 + -8z Combine like terms: -4 + 20 = 16 -8y + 8z = 16 + -8z Add '-8z' to each side of the equation. -8y + 8z + -8z = 16 + -8z + -8z Combine like terms: 8z + -8z = 0 -8y + 0 = 16 + -8z + -8z -8y = 16 + -8z + -8z Combine like terms: -8z + -8z = -16z -8y = 16 + -16z Divide each side by '-8'. y = -2 + 2z Simplifying y = -2 + 2z
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