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Simplifying 2(y + -7) + -6 = -2(-7y + 5) + -6y Reorder the terms: 2(-7 + y) + -6 = -2(-7y + 5) + -6y (-7 * 2 + y * 2) + -6 = -2(-7y + 5) + -6y (-14 + 2y) + -6 = -2(-7y + 5) + -6y Reorder the terms: -14 + -6 + 2y = -2(-7y + 5) + -6y Combine like terms: -14 + -6 = -20 -20 + 2y = -2(-7y + 5) + -6y Reorder the terms: -20 + 2y = -2(5 + -7y) + -6y -20 + 2y = (5 * -2 + -7y * -2) + -6y -20 + 2y = (-10 + 14y) + -6y Combine like terms: 14y + -6y = 8y -20 + 2y = -10 + 8y Solving -20 + 2y = -10 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -20 + 2y + -8y = -10 + 8y + -8y Combine like terms: 2y + -8y = -6y -20 + -6y = -10 + 8y + -8y Combine like terms: 8y + -8y = 0 -20 + -6y = -10 + 0 -20 + -6y = -10 Add '20' to each side of the equation. -20 + 20 + -6y = -10 + 20 Combine like terms: -20 + 20 = 0 0 + -6y = -10 + 20 -6y = -10 + 20 Combine like terms: -10 + 20 = 10 -6y = 10 Divide each side by '-6'. y = -1.666666667 Simplifying y = -1.666666667
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