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Simplifying 2(5y + 2) = -4(y + -1) + -14 Reorder the terms: 2(2 + 5y) = -4(y + -1) + -14 (2 * 2 + 5y * 2) = -4(y + -1) + -14 (4 + 10y) = -4(y + -1) + -14 Reorder the terms: 4 + 10y = -4(-1 + y) + -14 4 + 10y = (-1 * -4 + y * -4) + -14 4 + 10y = (4 + -4y) + -14 Reorder the terms: 4 + 10y = 4 + -14 + -4y Combine like terms: 4 + -14 = -10 4 + 10y = -10 + -4y Solving 4 + 10y = -10 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 4 + 10y + 4y = -10 + -4y + 4y Combine like terms: 10y + 4y = 14y 4 + 14y = -10 + -4y + 4y Combine like terms: -4y + 4y = 0 4 + 14y = -10 + 0 4 + 14y = -10 Add '-4' to each side of the equation. 4 + -4 + 14y = -10 + -4 Combine like terms: 4 + -4 = 0 0 + 14y = -10 + -4 14y = -10 + -4 Combine like terms: -10 + -4 = -14 14y = -14 Divide each side by '14'. y = -1 Simplifying y = -1
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