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Simplifying 7(y + -1) + -3 = -4(-7y + 5) + -6y Reorder the terms: 7(-1 + y) + -3 = -4(-7y + 5) + -6y (-1 * 7 + y * 7) + -3 = -4(-7y + 5) + -6y (-7 + 7y) + -3 = -4(-7y + 5) + -6y Reorder the terms: -7 + -3 + 7y = -4(-7y + 5) + -6y Combine like terms: -7 + -3 = -10 -10 + 7y = -4(-7y + 5) + -6y Reorder the terms: -10 + 7y = -4(5 + -7y) + -6y -10 + 7y = (5 * -4 + -7y * -4) + -6y -10 + 7y = (-20 + 28y) + -6y Combine like terms: 28y + -6y = 22y -10 + 7y = -20 + 22y Solving -10 + 7y = -20 + 22y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-22y' to each side of the equation. -10 + 7y + -22y = -20 + 22y + -22y Combine like terms: 7y + -22y = -15y -10 + -15y = -20 + 22y + -22y Combine like terms: 22y + -22y = 0 -10 + -15y = -20 + 0 -10 + -15y = -20 Add '10' to each side of the equation. -10 + 10 + -15y = -20 + 10 Combine like terms: -10 + 10 = 0 0 + -15y = -20 + 10 -15y = -20 + 10 Combine like terms: -20 + 10 = -10 -15y = -10 Divide each side by '-15'. y = 0.6666666667 Simplifying y = 0.6666666667
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