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Simplifying 2(y + -3) + -8 = -5(-3y + 6) + -7y Reorder the terms: 2(-3 + y) + -8 = -5(-3y + 6) + -7y (-3 * 2 + y * 2) + -8 = -5(-3y + 6) + -7y (-6 + 2y) + -8 = -5(-3y + 6) + -7y Reorder the terms: -6 + -8 + 2y = -5(-3y + 6) + -7y Combine like terms: -6 + -8 = -14 -14 + 2y = -5(-3y + 6) + -7y Reorder the terms: -14 + 2y = -5(6 + -3y) + -7y -14 + 2y = (6 * -5 + -3y * -5) + -7y -14 + 2y = (-30 + 15y) + -7y Combine like terms: 15y + -7y = 8y -14 + 2y = -30 + 8y Solving -14 + 2y = -30 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -14 + 2y + -8y = -30 + 8y + -8y Combine like terms: 2y + -8y = -6y -14 + -6y = -30 + 8y + -8y Combine like terms: 8y + -8y = 0 -14 + -6y = -30 + 0 -14 + -6y = -30 Add '14' to each side of the equation. -14 + 14 + -6y = -30 + 14 Combine like terms: -14 + 14 = 0 0 + -6y = -30 + 14 -6y = -30 + 14 Combine like terms: -30 + 14 = -16 -6y = -16 Divide each side by '-6'. y = 2.666666667 Simplifying y = 2.666666667
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