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Simplifying 5(y + -4) + -7 = -3(-9y + 7) + -8y Reorder the terms: 5(-4 + y) + -7 = -3(-9y + 7) + -8y (-4 * 5 + y * 5) + -7 = -3(-9y + 7) + -8y (-20 + 5y) + -7 = -3(-9y + 7) + -8y Reorder the terms: -20 + -7 + 5y = -3(-9y + 7) + -8y Combine like terms: -20 + -7 = -27 -27 + 5y = -3(-9y + 7) + -8y Reorder the terms: -27 + 5y = -3(7 + -9y) + -8y -27 + 5y = (7 * -3 + -9y * -3) + -8y -27 + 5y = (-21 + 27y) + -8y Combine like terms: 27y + -8y = 19y -27 + 5y = -21 + 19y Solving -27 + 5y = -21 + 19y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-19y' to each side of the equation. -27 + 5y + -19y = -21 + 19y + -19y Combine like terms: 5y + -19y = -14y -27 + -14y = -21 + 19y + -19y Combine like terms: 19y + -19y = 0 -27 + -14y = -21 + 0 -27 + -14y = -21 Add '27' to each side of the equation. -27 + 27 + -14y = -21 + 27 Combine like terms: -27 + 27 = 0 0 + -14y = -21 + 27 -14y = -21 + 27 Combine like terms: -21 + 27 = 6 -14y = 6 Divide each side by '-14'. y = -0.4285714286 Simplifying y = -0.4285714286
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