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Simplifying -7(-3y + 2) + -7y = 6(y + -3) + -8 Reorder the terms: -7(2 + -3y) + -7y = 6(y + -3) + -8 (2 * -7 + -3y * -7) + -7y = 6(y + -3) + -8 (-14 + 21y) + -7y = 6(y + -3) + -8 Combine like terms: 21y + -7y = 14y -14 + 14y = 6(y + -3) + -8 Reorder the terms: -14 + 14y = 6(-3 + y) + -8 -14 + 14y = (-3 * 6 + y * 6) + -8 -14 + 14y = (-18 + 6y) + -8 Reorder the terms: -14 + 14y = -18 + -8 + 6y Combine like terms: -18 + -8 = -26 -14 + 14y = -26 + 6y Solving -14 + 14y = -26 + 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 + 14y + -6y = -26 + 6y + -6y Combine like terms: 14y + -6y = 8y -14 + 8y = -26 + 6y + -6y Combine like terms: 6y + -6y = 0 -14 + 8y = -26 + 0 -14 + 8y = -26 Add '14' to each side of the equation. -14 + 14 + 8y = -26 + 14 Combine like terms: -14 + 14 = 0 0 + 8y = -26 + 14 8y = -26 + 14 Combine like terms: -26 + 14 = -12 8y = -12 Divide each side by '8'. y = -1.5 Simplifying y = -1.5
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