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Simplifying 7y + 4(y + -6) = 4(y + z) + -2 Reorder the terms: 7y + 4(-6 + y) = 4(y + z) + -2 7y + (-6 * 4 + y * 4) = 4(y + z) + -2 7y + (-24 + 4y) = 4(y + z) + -2 Reorder the terms: -24 + 7y + 4y = 4(y + z) + -2 Combine like terms: 7y + 4y = 11y -24 + 11y = 4(y + z) + -2 -24 + 11y = (y * 4 + z * 4) + -2 -24 + 11y = (4y + 4z) + -2 Reorder the terms: -24 + 11y = -2 + 4y + 4z Solving -24 + 11y = -2 + 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. -24 + 11y + -4y = -2 + 4y + -4y + 4z Combine like terms: 11y + -4y = 7y -24 + 7y = -2 + 4y + -4y + 4z Combine like terms: 4y + -4y = 0 -24 + 7y = -2 + 0 + 4z -24 + 7y = -2 + 4z Add '24' to each side of the equation. -24 + 24 + 7y = -2 + 24 + 4z Combine like terms: -24 + 24 = 0 0 + 7y = -2 + 24 + 4z 7y = -2 + 24 + 4z Combine like terms: -2 + 24 = 22 7y = 22 + 4z Divide each side by '7'. y = 3.142857143 + 0.5714285714z Simplifying y = 3.142857143 + 0.5714285714z
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