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Simplifying 5y + -2[y + -3(y + -5)] = 6 Reorder the terms: 5y + -2[y + -3(-5 + y)] = 6 5y + -2[y + (-5 * -3 + y * -3)] = 6 5y + -2[y + (15 + -3y)] = 6 Reorder the terms: 5y + -2[15 + y + -3y] = 6 Combine like terms: y + -3y = -2y 5y + -2[15 + -2y] = 6 5y + [15 * -2 + -2y * -2] = 6 5y + [-30 + 4y] = 6 Reorder the terms: -30 + 5y + 4y = 6 Combine like terms: 5y + 4y = 9y -30 + 9y = 6 Solving -30 + 9y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 9y = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 9y = 6 + 30 9y = 6 + 30 Combine like terms: 6 + 30 = 36 9y = 36 Divide each side by '9'. y = 4 Simplifying y = 4
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