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Simplifying 5[y + 2] = 4 + -7y Reorder the terms: 5[2 + y] = 4 + -7y [2 * 5 + y * 5] = 4 + -7y [10 + 5y] = 4 + -7y Solving 10 + 5y = 4 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 10 + 5y + 7y = 4 + -7y + 7y Combine like terms: 5y + 7y = 12y 10 + 12y = 4 + -7y + 7y Combine like terms: -7y + 7y = 0 10 + 12y = 4 + 0 10 + 12y = 4 Add '-10' to each side of the equation. 10 + -10 + 12y = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 12y = 4 + -10 12y = 4 + -10 Combine like terms: 4 + -10 = -6 12y = -6 Divide each side by '12'. y = -0.5 Simplifying y = -0.5
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