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Simplifying -4y + -5(8y + -3) = 6 + -7(7 + -1y) Reorder the terms: -4y + -5(-3 + 8y) = 6 + -7(7 + -1y) -4y + (-3 * -5 + 8y * -5) = 6 + -7(7 + -1y) -4y + (15 + -40y) = 6 + -7(7 + -1y) Reorder the terms: 15 + -4y + -40y = 6 + -7(7 + -1y) Combine like terms: -4y + -40y = -44y 15 + -44y = 6 + -7(7 + -1y) 15 + -44y = 6 + (7 * -7 + -1y * -7) 15 + -44y = 6 + (-49 + 7y) Combine like terms: 6 + -49 = -43 15 + -44y = -43 + 7y Solving 15 + -44y = -43 + 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. 15 + -44y + -7y = -43 + 7y + -7y Combine like terms: -44y + -7y = -51y 15 + -51y = -43 + 7y + -7y Combine like terms: 7y + -7y = 0 15 + -51y = -43 + 0 15 + -51y = -43 Add '-15' to each side of the equation. 15 + -15 + -51y = -43 + -15 Combine like terms: 15 + -15 = 0 0 + -51y = -43 + -15 -51y = -43 + -15 Combine like terms: -43 + -15 = -58 -51y = -58 Divide each side by '-51'. y = 1.137254902 Simplifying y = 1.137254902
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