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Simplifying -5y + 8 = -2(4y + 2) Reorder the terms: 8 + -5y = -2(4y + 2) Reorder the terms: 8 + -5y = -2(2 + 4y) 8 + -5y = (2 * -2 + 4y * -2) 8 + -5y = (-4 + -8y) Solving 8 + -5y = -4 + -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. 8 + -5y + 8y = -4 + -8y + 8y Combine like terms: -5y + 8y = 3y 8 + 3y = -4 + -8y + 8y Combine like terms: -8y + 8y = 0 8 + 3y = -4 + 0 8 + 3y = -4 Add '-8' to each side of the equation. 8 + -8 + 3y = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 3y = -4 + -8 3y = -4 + -8 Combine like terms: -4 + -8 = -12 3y = -12 Divide each side by '3'. y = -4 Simplifying y = -4
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