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Simplifying 6(6y + -2) + 8(1 + -5y) = 2y Reorder the terms: 6(-2 + 6y) + 8(1 + -5y) = 2y (-2 * 6 + 6y * 6) + 8(1 + -5y) = 2y (-12 + 36y) + 8(1 + -5y) = 2y -12 + 36y + (1 * 8 + -5y * 8) = 2y -12 + 36y + (8 + -40y) = 2y Reorder the terms: -12 + 8 + 36y + -40y = 2y Combine like terms: -12 + 8 = -4 -4 + 36y + -40y = 2y Combine like terms: 36y + -40y = -4y -4 + -4y = 2y Solving -4 + -4y = 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -4 + -4y + -2y = 2y + -2y Combine like terms: -4y + -2y = -6y -4 + -6y = 2y + -2y Combine like terms: 2y + -2y = 0 -4 + -6y = 0 Add '4' to each side of the equation. -4 + 4 + -6y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -6y = 0 + 4 -6y = 0 + 4 Combine like terms: 0 + 4 = 4 -6y = 4 Divide each side by '-6'. y = -0.6666666667 Simplifying y = -0.6666666667
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