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Simplifying 4(3y + -1) + -6 = 5(y + z) Reorder the terms: 4(-1 + 3y) + -6 = 5(y + z) (-1 * 4 + 3y * 4) + -6 = 5(y + z) (-4 + 12y) + -6 = 5(y + z) Reorder the terms: -4 + -6 + 12y = 5(y + z) Combine like terms: -4 + -6 = -10 -10 + 12y = 5(y + z) -10 + 12y = (y * 5 + z * 5) -10 + 12y = (5y + 5z) Solving -10 + 12y = 5y + 5z Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -10 + 12y + -5y = 5y + -5y + 5z Combine like terms: 12y + -5y = 7y -10 + 7y = 5y + -5y + 5z Combine like terms: 5y + -5y = 0 -10 + 7y = 0 + 5z -10 + 7y = 5z Add '10' to each side of the equation. -10 + 10 + 7y = 10 + 5z Combine like terms: -10 + 10 = 0 0 + 7y = 10 + 5z 7y = 10 + 5z Divide each side by '7'. y = 1.428571429 + 0.7142857143z Simplifying y = 1.428571429 + 0.7142857143z
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