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Simplifying 3(y + -4) + -5 = -3(-8y + 9) + -7y Reorder the terms: 3(-4 + y) + -5 = -3(-8y + 9) + -7y (-4 * 3 + y * 3) + -5 = -3(-8y + 9) + -7y (-12 + 3y) + -5 = -3(-8y + 9) + -7y Reorder the terms: -12 + -5 + 3y = -3(-8y + 9) + -7y Combine like terms: -12 + -5 = -17 -17 + 3y = -3(-8y + 9) + -7y Reorder the terms: -17 + 3y = -3(9 + -8y) + -7y -17 + 3y = (9 * -3 + -8y * -3) + -7y -17 + 3y = (-27 + 24y) + -7y Combine like terms: 24y + -7y = 17y -17 + 3y = -27 + 17y Solving -17 + 3y = -27 + 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. -17 + 3y + -17y = -27 + 17y + -17y Combine like terms: 3y + -17y = -14y -17 + -14y = -27 + 17y + -17y Combine like terms: 17y + -17y = 0 -17 + -14y = -27 + 0 -17 + -14y = -27 Add '17' to each side of the equation. -17 + 17 + -14y = -27 + 17 Combine like terms: -17 + 17 = 0 0 + -14y = -27 + 17 -14y = -27 + 17 Combine like terms: -27 + 17 = -10 -14y = -10 Divide each side by '-14'. y = 0.7142857143 Simplifying y = 0.7142857143
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