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Simplifying 7[(6y + (-15)) + -1(8y + 7)] = 0 7[(6y + -15) + -1(8y + 7)] = 0 Reorder the terms: 7[(-15 + 6y) + -1(8y + 7)] = 0 Remove parenthesis around (-15 + 6y) 7[-15 + 6y + -1(8y + 7)] = 0 Reorder the terms: 7[-15 + 6y + -1(7 + 8y)] = 0 7[-15 + 6y + (7 * -1 + 8y * -1)] = 0 7[-15 + 6y + (-7 + -8y)] = 0 Reorder the terms: 7[-15 + -7 + 6y + -8y] = 0 Combine like terms: -15 + -7 = -22 7[-22 + 6y + -8y] = 0 Combine like terms: 6y + -8y = -2y 7[-22 + -2y] = 0 [-22 * 7 + -2y * 7] = 0 [-154 + -14y] = 0 Solving -154 + -14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '154' to each side of the equation. -154 + 154 + -14y = 0 + 154 Combine like terms: -154 + 154 = 0 0 + -14y = 0 + 154 -14y = 0 + 154 Combine like terms: 0 + 154 = 154 -14y = 154 Divide each side by '-14'. y = -11 Simplifying y = -11
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