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Simplifying (y + -4) = 7(2y + 1) Reorder the terms: (-4 + y) = 7(2y + 1) Remove parenthesis around (-4 + y) -4 + y = 7(2y + 1) Reorder the terms: -4 + y = 7(1 + 2y) -4 + y = (1 * 7 + 2y * 7) -4 + y = (7 + 14y) Solving -4 + y = 7 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. -4 + y + -14y = 7 + 14y + -14y Combine like terms: y + -14y = -13y -4 + -13y = 7 + 14y + -14y Combine like terms: 14y + -14y = 0 -4 + -13y = 7 + 0 -4 + -13y = 7 Add '4' to each side of the equation. -4 + 4 + -13y = 7 + 4 Combine like terms: -4 + 4 = 0 0 + -13y = 7 + 4 -13y = 7 + 4 Combine like terms: 7 + 4 = 11 -13y = 11 Divide each side by '-13'. y = -0.8461538462 Simplifying y = -0.8461538462
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