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Simplifying -6y + 4 = -2(4y + 7) Reorder the terms: 4 + -6y = -2(4y + 7) Reorder the terms: 4 + -6y = -2(7 + 4y) 4 + -6y = (7 * -2 + 4y * -2) 4 + -6y = (-14 + -8y) Solving 4 + -6y = -14 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 4 + -6y + 8y = -14 + -8y + 8y Combine like terms: -6y + 8y = 2y 4 + 2y = -14 + -8y + 8y Combine like terms: -8y + 8y = 0 4 + 2y = -14 + 0 4 + 2y = -14 Add '-4' to each side of the equation. 4 + -4 + 2y = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 2y = -14 + -4 2y = -14 + -4 Combine like terms: -14 + -4 = -18 2y = -18 Divide each side by '2'. y = -9 Simplifying y = -9
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