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Simplifying 6 = -8y + 5(y + -3) Reorder the terms: 6 = -8y + 5(-3 + y) 6 = -8y + (-3 * 5 + y * 5) 6 = -8y + (-15 + 5y) Reorder the terms: 6 = -15 + -8y + 5y Combine like terms: -8y + 5y = -3y 6 = -15 + -3y Solving 6 = -15 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 6 + 3y = -15 + -3y + 3y Combine like terms: -3y + 3y = 0 6 + 3y = -15 + 0 6 + 3y = -15 Add '-6' to each side of the equation. 6 + -6 + 3y = -15 + -6 Combine like terms: 6 + -6 = 0 0 + 3y = -15 + -6 3y = -15 + -6 Combine like terms: -15 + -6 = -21 3y = -21 Divide each side by '3'. y = -7 Simplifying y = -7
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