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Simplifying 7 + -2[5 + -1(5y + -2)] = 0 Reorder the terms: 7 + -2[5 + -1(-2 + 5y)] = 0 7 + -2[5 + (-2 * -1 + 5y * -1)] = 0 7 + -2[5 + (2 + -5y)] = 0 Combine like terms: 5 + 2 = 7 7 + -2[7 + -5y] = 0 7 + [7 * -2 + -5y * -2] = 0 7 + [-14 + 10y] = 0 Combine like terms: 7 + -14 = -7 -7 + 10y = 0 Solving -7 + 10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 10y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 10y = 0 + 7 10y = 0 + 7 Combine like terms: 0 + 7 = 7 10y = 7 Divide each side by '10'. y = 0.7 Simplifying y = 0.7
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