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Simplifying -5y + -6(6y + 6) = -2 + -1(7 + -1y) Reorder the terms: -5y + -6(6 + 6y) = -2 + -1(7 + -1y) -5y + (6 * -6 + 6y * -6) = -2 + -1(7 + -1y) -5y + (-36 + -36y) = -2 + -1(7 + -1y) Reorder the terms: -36 + -5y + -36y = -2 + -1(7 + -1y) Combine like terms: -5y + -36y = -41y -36 + -41y = -2 + -1(7 + -1y) -36 + -41y = -2 + (7 * -1 + -1y * -1) -36 + -41y = -2 + (-7 + 1y) Combine like terms: -2 + -7 = -9 -36 + -41y = -9 + 1y Solving -36 + -41y = -9 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -36 + -41y + -1y = -9 + 1y + -1y Combine like terms: -41y + -1y = -42y -36 + -42y = -9 + 1y + -1y Combine like terms: 1y + -1y = 0 -36 + -42y = -9 + 0 -36 + -42y = -9 Add '36' to each side of the equation. -36 + 36 + -42y = -9 + 36 Combine like terms: -36 + 36 = 0 0 + -42y = -9 + 36 -42y = -9 + 36 Combine like terms: -9 + 36 = 27 -42y = 27 Divide each side by '-42'. y = -0.6428571429 Simplifying y = -0.6428571429
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