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Simplifying 5(y + -1) + -1 = -7(-4y + 2) + -9y Reorder the terms: 5(-1 + y) + -1 = -7(-4y + 2) + -9y (-1 * 5 + y * 5) + -1 = -7(-4y + 2) + -9y (-5 + 5y) + -1 = -7(-4y + 2) + -9y Reorder the terms: -5 + -1 + 5y = -7(-4y + 2) + -9y Combine like terms: -5 + -1 = -6 -6 + 5y = -7(-4y + 2) + -9y Reorder the terms: -6 + 5y = -7(2 + -4y) + -9y -6 + 5y = (2 * -7 + -4y * -7) + -9y -6 + 5y = (-14 + 28y) + -9y Combine like terms: 28y + -9y = 19y -6 + 5y = -14 + 19y Solving -6 + 5y = -14 + 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. -6 + 5y + -19y = -14 + 19y + -19y Combine like terms: 5y + -19y = -14y -6 + -14y = -14 + 19y + -19y Combine like terms: 19y + -19y = 0 -6 + -14y = -14 + 0 -6 + -14y = -14 Add '6' to each side of the equation. -6 + 6 + -14y = -14 + 6 Combine like terms: -6 + 6 = 0 0 + -14y = -14 + 6 -14y = -14 + 6 Combine like terms: -14 + 6 = -8 -14y = -8 Divide each side by '-14'. y = 0.5714285714 Simplifying y = 0.5714285714
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