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Simplifying 3(3y + 1) = 7(13 + -15y) Reorder the terms: 3(1 + 3y) = 7(13 + -15y) (1 * 3 + 3y * 3) = 7(13 + -15y) (3 + 9y) = 7(13 + -15y) 3 + 9y = (13 * 7 + -15y * 7) 3 + 9y = (91 + -105y) Solving 3 + 9y = 91 + -105y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '105y' to each side of the equation. 3 + 9y + 105y = 91 + -105y + 105y Combine like terms: 9y + 105y = 114y 3 + 114y = 91 + -105y + 105y Combine like terms: -105y + 105y = 0 3 + 114y = 91 + 0 3 + 114y = 91 Add '-3' to each side of the equation. 3 + -3 + 114y = 91 + -3 Combine like terms: 3 + -3 = 0 0 + 114y = 91 + -3 114y = 91 + -3 Combine like terms: 91 + -3 = 88 114y = 88 Divide each side by '114'. y = 0.7719298246 Simplifying y = 0.7719298246
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