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Simplifying 8y + -8 + 2(3y + 3) = -4(y + 1) Reorder the terms: 8y + -8 + 2(3 + 3y) = -4(y + 1) 8y + -8 + (3 * 2 + 3y * 2) = -4(y + 1) 8y + -8 + (6 + 6y) = -4(y + 1) Reorder the terms: -8 + 6 + 8y + 6y = -4(y + 1) Combine like terms: -8 + 6 = -2 -2 + 8y + 6y = -4(y + 1) Combine like terms: 8y + 6y = 14y -2 + 14y = -4(y + 1) Reorder the terms: -2 + 14y = -4(1 + y) -2 + 14y = (1 * -4 + y * -4) -2 + 14y = (-4 + -4y) Solving -2 + 14y = -4 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -2 + 14y + 4y = -4 + -4y + 4y Combine like terms: 14y + 4y = 18y -2 + 18y = -4 + -4y + 4y Combine like terms: -4y + 4y = 0 -2 + 18y = -4 + 0 -2 + 18y = -4 Add '2' to each side of the equation. -2 + 2 + 18y = -4 + 2 Combine like terms: -2 + 2 = 0 0 + 18y = -4 + 2 18y = -4 + 2 Combine like terms: -4 + 2 = -2 18y = -2 Divide each side by '18'. y = -0.1111111111 Simplifying y = -0.1111111111
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