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Simplifying 7 + 3(y + 5) = 7(2 + -2y) Reorder the terms: 7 + 3(5 + y) = 7(2 + -2y) 7 + (5 * 3 + y * 3) = 7(2 + -2y) 7 + (15 + 3y) = 7(2 + -2y) Combine like terms: 7 + 15 = 22 22 + 3y = 7(2 + -2y) 22 + 3y = (2 * 7 + -2y * 7) 22 + 3y = (14 + -14y) Solving 22 + 3y = 14 + -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. 22 + 3y + 14y = 14 + -14y + 14y Combine like terms: 3y + 14y = 17y 22 + 17y = 14 + -14y + 14y Combine like terms: -14y + 14y = 0 22 + 17y = 14 + 0 22 + 17y = 14 Add '-22' to each side of the equation. 22 + -22 + 17y = 14 + -22 Combine like terms: 22 + -22 = 0 0 + 17y = 14 + -22 17y = 14 + -22 Combine like terms: 14 + -22 = -8 17y = -8 Divide each side by '17'. y = -0.4705882353 Simplifying y = -0.4705882353
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