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Simplifying 7(y + -2) = 6(y + -9) Reorder the terms: 7(-2 + y) = 6(y + -9) (-2 * 7 + y * 7) = 6(y + -9) (-14 + 7y) = 6(y + -9) Reorder the terms: -14 + 7y = 6(-9 + y) -14 + 7y = (-9 * 6 + y * 6) -14 + 7y = (-54 + 6y) Solving -14 + 7y = -54 + 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. -14 + 7y + -6y = -54 + 6y + -6y Combine like terms: 7y + -6y = 1y -14 + 1y = -54 + 6y + -6y Combine like terms: 6y + -6y = 0 -14 + 1y = -54 + 0 -14 + 1y = -54 Add '14' to each side of the equation. -14 + 14 + 1y = -54 + 14 Combine like terms: -14 + 14 = 0 0 + 1y = -54 + 14 1y = -54 + 14 Combine like terms: -54 + 14 = -40 1y = -40 Divide each side by '1'. y = -40 Simplifying y = -40
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