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Simplifying 7(2y + 1) = 2(y + -13) Reorder the terms: 7(1 + 2y) = 2(y + -13) (1 * 7 + 2y * 7) = 2(y + -13) (7 + 14y) = 2(y + -13) Reorder the terms: 7 + 14y = 2(-13 + y) 7 + 14y = (-13 * 2 + y * 2) 7 + 14y = (-26 + 2y) Solving 7 + 14y = -26 + 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. 7 + 14y + -2y = -26 + 2y + -2y Combine like terms: 14y + -2y = 12y 7 + 12y = -26 + 2y + -2y Combine like terms: 2y + -2y = 0 7 + 12y = -26 + 0 7 + 12y = -26 Add '-7' to each side of the equation. 7 + -7 + 12y = -26 + -7 Combine like terms: 7 + -7 = 0 0 + 12y = -26 + -7 12y = -26 + -7 Combine like terms: -26 + -7 = -33 12y = -33 Divide each side by '12'. y = -2.75 Simplifying y = -2.75
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