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Simplifying -7 + -6(6y + 6) = -1(y + 8) + 3 Reorder the terms: -7 + -6(6 + 6y) = -1(y + 8) + 3 -7 + (6 * -6 + 6y * -6) = -1(y + 8) + 3 -7 + (-36 + -36y) = -1(y + 8) + 3 Combine like terms: -7 + -36 = -43 -43 + -36y = -1(y + 8) + 3 Reorder the terms: -43 + -36y = -1(8 + y) + 3 -43 + -36y = (8 * -1 + y * -1) + 3 -43 + -36y = (-8 + -1y) + 3 Reorder the terms: -43 + -36y = -8 + 3 + -1y Combine like terms: -8 + 3 = -5 -43 + -36y = -5 + -1y Solving -43 + -36y = -5 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -43 + -36y + y = -5 + -1y + y Combine like terms: -36y + y = -35y -43 + -35y = -5 + -1y + y Combine like terms: -1y + y = 0 -43 + -35y = -5 + 0 -43 + -35y = -5 Add '43' to each side of the equation. -43 + 43 + -35y = -5 + 43 Combine like terms: -43 + 43 = 0 0 + -35y = -5 + 43 -35y = -5 + 43 Combine like terms: -5 + 43 = 38 -35y = 38 Divide each side by '-35'. y = -1.085714286 Simplifying y = -1.085714286
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