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Simplifying -2(-8y + 9) + -9y = 6(y + -2) + -2 Reorder the terms: -2(9 + -8y) + -9y = 6(y + -2) + -2 (9 * -2 + -8y * -2) + -9y = 6(y + -2) + -2 (-18 + 16y) + -9y = 6(y + -2) + -2 Combine like terms: 16y + -9y = 7y -18 + 7y = 6(y + -2) + -2 Reorder the terms: -18 + 7y = 6(-2 + y) + -2 -18 + 7y = (-2 * 6 + y * 6) + -2 -18 + 7y = (-12 + 6y) + -2 Reorder the terms: -18 + 7y = -12 + -2 + 6y Combine like terms: -12 + -2 = -14 -18 + 7y = -14 + 6y Solving -18 + 7y = -14 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -18 + 7y + -6y = -14 + 6y + -6y Combine like terms: 7y + -6y = 1y -18 + 1y = -14 + 6y + -6y Combine like terms: 6y + -6y = 0 -18 + 1y = -14 + 0 -18 + 1y = -14 Add '18' to each side of the equation. -18 + 18 + 1y = -14 + 18 Combine like terms: -18 + 18 = 0 0 + 1y = -14 + 18 1y = -14 + 18 Combine like terms: -14 + 18 = 4 1y = 4 Divide each side by '1'. y = 4 Simplifying y = 4
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