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Simplifying y + 8 + -8y = -5(y + -4) Reorder the terms: 8 + y + -8y = -5(y + -4) Combine like terms: y + -8y = -7y 8 + -7y = -5(y + -4) Reorder the terms: 8 + -7y = -5(-4 + y) 8 + -7y = (-4 * -5 + y * -5) 8 + -7y = (20 + -5y) Solving 8 + -7y = 20 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 8 + -7y + 5y = 20 + -5y + 5y Combine like terms: -7y + 5y = -2y 8 + -2y = 20 + -5y + 5y Combine like terms: -5y + 5y = 0 8 + -2y = 20 + 0 8 + -2y = 20 Add '-8' to each side of the equation. 8 + -8 + -2y = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -2y = 20 + -8 -2y = 20 + -8 Combine like terms: 20 + -8 = 12 -2y = 12 Divide each side by '-2'. y = -6 Simplifying y = -6
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