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Simplifying 7(y + -4) + -8 = -3(-8y + 8) + -3y Reorder the terms: 7(-4 + y) + -8 = -3(-8y + 8) + -3y (-4 * 7 + y * 7) + -8 = -3(-8y + 8) + -3y (-28 + 7y) + -8 = -3(-8y + 8) + -3y Reorder the terms: -28 + -8 + 7y = -3(-8y + 8) + -3y Combine like terms: -28 + -8 = -36 -36 + 7y = -3(-8y + 8) + -3y Reorder the terms: -36 + 7y = -3(8 + -8y) + -3y -36 + 7y = (8 * -3 + -8y * -3) + -3y -36 + 7y = (-24 + 24y) + -3y Combine like terms: 24y + -3y = 21y -36 + 7y = -24 + 21y Solving -36 + 7y = -24 + 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. -36 + 7y + -21y = -24 + 21y + -21y Combine like terms: 7y + -21y = -14y -36 + -14y = -24 + 21y + -21y Combine like terms: 21y + -21y = 0 -36 + -14y = -24 + 0 -36 + -14y = -24 Add '36' to each side of the equation. -36 + 36 + -14y = -24 + 36 Combine like terms: -36 + 36 = 0 0 + -14y = -24 + 36 -14y = -24 + 36 Combine like terms: -24 + 36 = 12 -14y = 12 Divide each side by '-14'. y = -0.8571428571 Simplifying y = -0.8571428571
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