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Simplifying 7[y + 3] + -4[3y + 6] = 0 Reorder the terms: 7[3 + y] + -4[3y + 6] = 0 [3 * 7 + y * 7] + -4[3y + 6] = 0 [21 + 7y] + -4[3y + 6] = 0 Reorder the terms: 21 + 7y + -4[6 + 3y] = 0 21 + 7y + [6 * -4 + 3y * -4] = 0 21 + 7y + [-24 + -12y] = 0 Reorder the terms: 21 + -24 + 7y + -12y = 0 Combine like terms: 21 + -24 = -3 -3 + 7y + -12y = 0 Combine like terms: 7y + -12y = -5y -3 + -5y = 0 Solving -3 + -5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5y = 0 + 3 -5y = 0 + 3 Combine like terms: 0 + 3 = 3 -5y = 3 Divide each side by '-5'. y = -0.6 Simplifying y = -0.6
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