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Simplifying 7(2y + 13) = 2y + 13 Reorder the terms: 7(13 + 2y) = 2y + 13 (13 * 7 + 2y * 7) = 2y + 13 (91 + 14y) = 2y + 13 Reorder the terms: 91 + 14y = 13 + 2y Solving 91 + 14y = 13 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 91 + 14y + -2y = 13 + 2y + -2y Combine like terms: 14y + -2y = 12y 91 + 12y = 13 + 2y + -2y Combine like terms: 2y + -2y = 0 91 + 12y = 13 + 0 91 + 12y = 13 Add '-91' to each side of the equation. 91 + -91 + 12y = 13 + -91 Combine like terms: 91 + -91 = 0 0 + 12y = 13 + -91 12y = 13 + -91 Combine like terms: 13 + -91 = -78 12y = -78 Divide each side by '12'. y = -6.5 Simplifying y = -6.5
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