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Simplifying -5y + 26 = 6y + -3(6y + 9) + 4 Reorder the terms: 26 + -5y = 6y + -3(6y + 9) + 4 Reorder the terms: 26 + -5y = 6y + -3(9 + 6y) + 4 26 + -5y = 6y + (9 * -3 + 6y * -3) + 4 26 + -5y = 6y + (-27 + -18y) + 4 Reorder the terms: 26 + -5y = -27 + 4 + 6y + -18y Combine like terms: -27 + 4 = -23 26 + -5y = -23 + 6y + -18y Combine like terms: 6y + -18y = -12y 26 + -5y = -23 + -12y Solving 26 + -5y = -23 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. 26 + -5y + 12y = -23 + -12y + 12y Combine like terms: -5y + 12y = 7y 26 + 7y = -23 + -12y + 12y Combine like terms: -12y + 12y = 0 26 + 7y = -23 + 0 26 + 7y = -23 Add '-26' to each side of the equation. 26 + -26 + 7y = -23 + -26 Combine like terms: 26 + -26 = 0 0 + 7y = -23 + -26 7y = -23 + -26 Combine like terms: -23 + -26 = -49 7y = -49 Divide each side by '7'. y = -7 Simplifying y = -7
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