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Simplifying y + -1[4y + (y + -3) + 7] = 0 Reorder the terms: y + -1[4y + (-3 + y) + 7] = 0 Remove parenthesis around (-3 + y) y + -1[4y + -3 + y + 7] = 0 Reorder the terms: y + -1[-3 + 7 + 4y + y] = 0 Combine like terms: -3 + 7 = 4 y + -1[4 + 4y + y] = 0 Combine like terms: 4y + y = 5y y + -1[4 + 5y] = 0 y + [4 * -1 + 5y * -1] = 0 y + [-4 + -5y] = 0 Reorder the terms: -4 + y + -5y = 0 Combine like terms: y + -5y = -4y -4 + -4y = 0 Solving -4 + -4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -4y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -4y = 0 + 4 -4y = 0 + 4 Combine like terms: 0 + 4 = 4 -4y = 4 Divide each side by '-4'. y = -1 Simplifying y = -1
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