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Simplifying 2y + -7 + 4(3y + 2) = -4(y + 2) Reorder the terms: 2y + -7 + 4(2 + 3y) = -4(y + 2) 2y + -7 + (2 * 4 + 3y * 4) = -4(y + 2) 2y + -7 + (8 + 12y) = -4(y + 2) Reorder the terms: -7 + 8 + 2y + 12y = -4(y + 2) Combine like terms: -7 + 8 = 1 1 + 2y + 12y = -4(y + 2) Combine like terms: 2y + 12y = 14y 1 + 14y = -4(y + 2) Reorder the terms: 1 + 14y = -4(2 + y) 1 + 14y = (2 * -4 + y * -4) 1 + 14y = (-8 + -4y) Solving 1 + 14y = -8 + -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. 1 + 14y + 4y = -8 + -4y + 4y Combine like terms: 14y + 4y = 18y 1 + 18y = -8 + -4y + 4y Combine like terms: -4y + 4y = 0 1 + 18y = -8 + 0 1 + 18y = -8 Add '-1' to each side of the equation. 1 + -1 + 18y = -8 + -1 Combine like terms: 1 + -1 = 0 0 + 18y = -8 + -1 18y = -8 + -1 Combine like terms: -8 + -1 = -9 18y = -9 Divide each side by '18'. y = -0.5 Simplifying y = -0.5
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