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Simplifying -7(3y + -1) + 7y = 4(y + 4) Reorder the terms: -7(-1 + 3y) + 7y = 4(y + 4) (-1 * -7 + 3y * -7) + 7y = 4(y + 4) (7 + -21y) + 7y = 4(y + 4) Combine like terms: -21y + 7y = -14y 7 + -14y = 4(y + 4) Reorder the terms: 7 + -14y = 4(4 + y) 7 + -14y = (4 * 4 + y * 4) 7 + -14y = (16 + 4y) Solving 7 + -14y = 16 + 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. 7 + -14y + -4y = 16 + 4y + -4y Combine like terms: -14y + -4y = -18y 7 + -18y = 16 + 4y + -4y Combine like terms: 4y + -4y = 0 7 + -18y = 16 + 0 7 + -18y = 16 Add '-7' to each side of the equation. 7 + -7 + -18y = 16 + -7 Combine like terms: 7 + -7 = 0 0 + -18y = 16 + -7 -18y = 16 + -7 Combine like terms: 16 + -7 = 9 -18y = 9 Divide each side by '-18'. y = -0.5 Simplifying y = -0.5
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