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Simplifying 7(y + -2) + -9 = -3(-8y + 9) + -5y Reorder the terms: 7(-2 + y) + -9 = -3(-8y + 9) + -5y (-2 * 7 + y * 7) + -9 = -3(-8y + 9) + -5y (-14 + 7y) + -9 = -3(-8y + 9) + -5y Reorder the terms: -14 + -9 + 7y = -3(-8y + 9) + -5y Combine like terms: -14 + -9 = -23 -23 + 7y = -3(-8y + 9) + -5y Reorder the terms: -23 + 7y = -3(9 + -8y) + -5y -23 + 7y = (9 * -3 + -8y * -3) + -5y -23 + 7y = (-27 + 24y) + -5y Combine like terms: 24y + -5y = 19y -23 + 7y = -27 + 19y Solving -23 + 7y = -27 + 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. -23 + 7y + -19y = -27 + 19y + -19y Combine like terms: 7y + -19y = -12y -23 + -12y = -27 + 19y + -19y Combine like terms: 19y + -19y = 0 -23 + -12y = -27 + 0 -23 + -12y = -27 Add '23' to each side of the equation. -23 + 23 + -12y = -27 + 23 Combine like terms: -23 + 23 = 0 0 + -12y = -27 + 23 -12y = -27 + 23 Combine like terms: -27 + 23 = -4 -12y = -4 Divide each side by '-12'. y = 0.3333333333 Simplifying y = 0.3333333333
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