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Simplifying -3(-9y + 2) + -8y = 7(y + -2) + -2 Reorder the terms: -3(2 + -9y) + -8y = 7(y + -2) + -2 (2 * -3 + -9y * -3) + -8y = 7(y + -2) + -2 (-6 + 27y) + -8y = 7(y + -2) + -2 Combine like terms: 27y + -8y = 19y -6 + 19y = 7(y + -2) + -2 Reorder the terms: -6 + 19y = 7(-2 + y) + -2 -6 + 19y = (-2 * 7 + y * 7) + -2 -6 + 19y = (-14 + 7y) + -2 Reorder the terms: -6 + 19y = -14 + -2 + 7y Combine like terms: -14 + -2 = -16 -6 + 19y = -16 + 7y Solving -6 + 19y = -16 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -6 + 19y + -7y = -16 + 7y + -7y Combine like terms: 19y + -7y = 12y -6 + 12y = -16 + 7y + -7y Combine like terms: 7y + -7y = 0 -6 + 12y = -16 + 0 -6 + 12y = -16 Add '6' to each side of the equation. -6 + 6 + 12y = -16 + 6 Combine like terms: -6 + 6 = 0 0 + 12y = -16 + 6 12y = -16 + 6 Combine like terms: -16 + 6 = -10 12y = -10 Divide each side by '12'. y = -0.8333333333 Simplifying y = -0.8333333333
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