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Simplifying -7(y + 1) = y + -3 + 2(3y + 7) Reorder the terms: -7(1 + y) = y + -3 + 2(3y + 7) (1 * -7 + y * -7) = y + -3 + 2(3y + 7) (-7 + -7y) = y + -3 + 2(3y + 7) Reorder the terms: -7 + -7y = y + -3 + 2(7 + 3y) -7 + -7y = y + -3 + (7 * 2 + 3y * 2) -7 + -7y = y + -3 + (14 + 6y) Reorder the terms: -7 + -7y = -3 + 14 + y + 6y Combine like terms: -3 + 14 = 11 -7 + -7y = 11 + y + 6y Combine like terms: y + 6y = 7y -7 + -7y = 11 + 7y Solving -7 + -7y = 11 + 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. -7 + -7y + -7y = 11 + 7y + -7y Combine like terms: -7y + -7y = -14y -7 + -14y = 11 + 7y + -7y Combine like terms: 7y + -7y = 0 -7 + -14y = 11 + 0 -7 + -14y = 11 Add '7' to each side of the equation. -7 + 7 + -14y = 11 + 7 Combine like terms: -7 + 7 = 0 0 + -14y = 11 + 7 -14y = 11 + 7 Combine like terms: 11 + 7 = 18 -14y = 18 Divide each side by '-14'. y = -1.285714286 Simplifying y = -1.285714286
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