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Simplifying 2y + -2 + 2(4y + 1) = -6(y + 3) Reorder the terms: 2y + -2 + 2(1 + 4y) = -6(y + 3) 2y + -2 + (1 * 2 + 4y * 2) = -6(y + 3) 2y + -2 + (2 + 8y) = -6(y + 3) Reorder the terms: -2 + 2 + 2y + 8y = -6(y + 3) Combine like terms: -2 + 2 = 0 0 + 2y + 8y = -6(y + 3) 2y + 8y = -6(y + 3) Combine like terms: 2y + 8y = 10y 10y = -6(y + 3) Reorder the terms: 10y = -6(3 + y) 10y = (3 * -6 + y * -6) 10y = (-18 + -6y) Solving 10y = -18 + -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. 10y + 6y = -18 + -6y + 6y Combine like terms: 10y + 6y = 16y 16y = -18 + -6y + 6y Combine like terms: -6y + 6y = 0 16y = -18 + 0 16y = -18 Divide each side by '16'. y = -1.125 Simplifying y = -1.125
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