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Simplifying -5y + 2 = -2(4y + 5) Reorder the terms: 2 + -5y = -2(4y + 5) Reorder the terms: 2 + -5y = -2(5 + 4y) 2 + -5y = (5 * -2 + 4y * -2) 2 + -5y = (-10 + -8y) Solving 2 + -5y = -10 + -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. 2 + -5y + 8y = -10 + -8y + 8y Combine like terms: -5y + 8y = 3y 2 + 3y = -10 + -8y + 8y Combine like terms: -8y + 8y = 0 2 + 3y = -10 + 0 2 + 3y = -10 Add '-2' to each side of the equation. 2 + -2 + 3y = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 3y = -10 + -2 3y = -10 + -2 Combine like terms: -10 + -2 = -12 3y = -12 Divide each side by '3'. y = -4 Simplifying y = -4
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