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Simplifying 3(y + -8) + -4 = -3(-8y + 8) + -7y Reorder the terms: 3(-8 + y) + -4 = -3(-8y + 8) + -7y (-8 * 3 + y * 3) + -4 = -3(-8y + 8) + -7y (-24 + 3y) + -4 = -3(-8y + 8) + -7y Reorder the terms: -24 + -4 + 3y = -3(-8y + 8) + -7y Combine like terms: -24 + -4 = -28 -28 + 3y = -3(-8y + 8) + -7y Reorder the terms: -28 + 3y = -3(8 + -8y) + -7y -28 + 3y = (8 * -3 + -8y * -3) + -7y -28 + 3y = (-24 + 24y) + -7y Combine like terms: 24y + -7y = 17y -28 + 3y = -24 + 17y Solving -28 + 3y = -24 + 17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17y' to each side of the equation. -28 + 3y + -17y = -24 + 17y + -17y Combine like terms: 3y + -17y = -14y -28 + -14y = -24 + 17y + -17y Combine like terms: 17y + -17y = 0 -28 + -14y = -24 + 0 -28 + -14y = -24 Add '28' to each side of the equation. -28 + 28 + -14y = -24 + 28 Combine like terms: -28 + 28 = 0 0 + -14y = -24 + 28 -14y = -24 + 28 Combine like terms: -24 + 28 = 4 -14y = 4 Divide each side by '-14'. y = -0.2857142857 Simplifying y = -0.2857142857
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