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Simplifying 3y + 5(2y + 7) = 15 + (4y + -2) Reorder the terms: 3y + 5(7 + 2y) = 15 + (4y + -2) 3y + (7 * 5 + 2y * 5) = 15 + (4y + -2) 3y + (35 + 10y) = 15 + (4y + -2) Reorder the terms: 35 + 3y + 10y = 15 + (4y + -2) Combine like terms: 3y + 10y = 13y 35 + 13y = 15 + (4y + -2) Reorder the terms: 35 + 13y = 15 + (-2 + 4y) Remove parenthesis around (-2 + 4y) 35 + 13y = 15 + -2 + 4y Combine like terms: 15 + -2 = 13 35 + 13y = 13 + 4y Solving 35 + 13y = 13 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 35 + 13y + -4y = 13 + 4y + -4y Combine like terms: 13y + -4y = 9y 35 + 9y = 13 + 4y + -4y Combine like terms: 4y + -4y = 0 35 + 9y = 13 + 0 35 + 9y = 13 Add '-35' to each side of the equation. 35 + -35 + 9y = 13 + -35 Combine like terms: 35 + -35 = 0 0 + 9y = 13 + -35 9y = 13 + -35 Combine like terms: 13 + -35 = -22 9y = -22 Divide each side by '9'. y = -2.444444444 Simplifying y = -2.444444444
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