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Simplifying 2(y + -8) + -5 = -7(-2y + 5) + -6y Reorder the terms: 2(-8 + y) + -5 = -7(-2y + 5) + -6y (-8 * 2 + y * 2) + -5 = -7(-2y + 5) + -6y (-16 + 2y) + -5 = -7(-2y + 5) + -6y Reorder the terms: -16 + -5 + 2y = -7(-2y + 5) + -6y Combine like terms: -16 + -5 = -21 -21 + 2y = -7(-2y + 5) + -6y Reorder the terms: -21 + 2y = -7(5 + -2y) + -6y -21 + 2y = (5 * -7 + -2y * -7) + -6y -21 + 2y = (-35 + 14y) + -6y Combine like terms: 14y + -6y = 8y -21 + 2y = -35 + 8y Solving -21 + 2y = -35 + 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. -21 + 2y + -8y = -35 + 8y + -8y Combine like terms: 2y + -8y = -6y -21 + -6y = -35 + 8y + -8y Combine like terms: 8y + -8y = 0 -21 + -6y = -35 + 0 -21 + -6y = -35 Add '21' to each side of the equation. -21 + 21 + -6y = -35 + 21 Combine like terms: -21 + 21 = 0 0 + -6y = -35 + 21 -6y = -35 + 21 Combine like terms: -35 + 21 = -14 -6y = -14 Divide each side by '-6'. y = 2.333333333 Simplifying y = 2.333333333
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