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Simplifying 7(y + -3) + -1 = -4(-7y + 5) + -7y Reorder the terms: 7(-3 + y) + -1 = -4(-7y + 5) + -7y (-3 * 7 + y * 7) + -1 = -4(-7y + 5) + -7y (-21 + 7y) + -1 = -4(-7y + 5) + -7y Reorder the terms: -21 + -1 + 7y = -4(-7y + 5) + -7y Combine like terms: -21 + -1 = -22 -22 + 7y = -4(-7y + 5) + -7y Reorder the terms: -22 + 7y = -4(5 + -7y) + -7y -22 + 7y = (5 * -4 + -7y * -4) + -7y -22 + 7y = (-20 + 28y) + -7y Combine like terms: 28y + -7y = 21y -22 + 7y = -20 + 21y Solving -22 + 7y = -20 + 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. -22 + 7y + -21y = -20 + 21y + -21y Combine like terms: 7y + -21y = -14y -22 + -14y = -20 + 21y + -21y Combine like terms: 21y + -21y = 0 -22 + -14y = -20 + 0 -22 + -14y = -20 Add '22' to each side of the equation. -22 + 22 + -14y = -20 + 22 Combine like terms: -22 + 22 = 0 0 + -14y = -20 + 22 -14y = -20 + 22 Combine like terms: -20 + 22 = 2 -14y = 2 Divide each side by '-14'. y = -0.1428571429 Simplifying y = -0.1428571429
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