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Simplifying 6y + -8 + 2(2y + 2) = -6(y + 1) Reorder the terms: 6y + -8 + 2(2 + 2y) = -6(y + 1) 6y + -8 + (2 * 2 + 2y * 2) = -6(y + 1) 6y + -8 + (4 + 4y) = -6(y + 1) Reorder the terms: -8 + 4 + 6y + 4y = -6(y + 1) Combine like terms: -8 + 4 = -4 -4 + 6y + 4y = -6(y + 1) Combine like terms: 6y + 4y = 10y -4 + 10y = -6(y + 1) Reorder the terms: -4 + 10y = -6(1 + y) -4 + 10y = (1 * -6 + y * -6) -4 + 10y = (-6 + -6y) Solving -4 + 10y = -6 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -4 + 10y + 6y = -6 + -6y + 6y Combine like terms: 10y + 6y = 16y -4 + 16y = -6 + -6y + 6y Combine like terms: -6y + 6y = 0 -4 + 16y = -6 + 0 -4 + 16y = -6 Add '4' to each side of the equation. -4 + 4 + 16y = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 16y = -6 + 4 16y = -6 + 4 Combine like terms: -6 + 4 = -2 16y = -2 Divide each side by '16'. y = -0.125 Simplifying y = -0.125
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