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Simplifying -1 + 15(y + 2) = 7(y + 11) Reorder the terms: -1 + 15(2 + y) = 7(y + 11) -1 + (2 * 15 + y * 15) = 7(y + 11) -1 + (30 + 15y) = 7(y + 11) Combine like terms: -1 + 30 = 29 29 + 15y = 7(y + 11) Reorder the terms: 29 + 15y = 7(11 + y) 29 + 15y = (11 * 7 + y * 7) 29 + 15y = (77 + 7y) Solving 29 + 15y = 77 + 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. 29 + 15y + -7y = 77 + 7y + -7y Combine like terms: 15y + -7y = 8y 29 + 8y = 77 + 7y + -7y Combine like terms: 7y + -7y = 0 29 + 8y = 77 + 0 29 + 8y = 77 Add '-29' to each side of the equation. 29 + -29 + 8y = 77 + -29 Combine like terms: 29 + -29 = 0 0 + 8y = 77 + -29 8y = 77 + -29 Combine like terms: 77 + -29 = 48 8y = 48 Divide each side by '8'. y = 6 Simplifying y = 6
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