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Simplifying -6 + 10 = -4(2y + 1) Combine like terms: -6 + 10 = 4 4 = -4(2y + 1) Reorder the terms: 4 = -4(1 + 2y) 4 = (1 * -4 + 2y * -4) 4 = (-4 + -8y) Solving 4 = -4 + -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 + 8y = -4 + -8y + 8y Combine like terms: -8y + 8y = 0 4 + 8y = -4 + 0 4 + 8y = -4 Add '-4' to each side of the equation. 4 + -4 + 8y = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 8y = -4 + -4 8y = -4 + -4 Combine like terms: -4 + -4 = -8 8y = -8 Divide each side by '8'. y = -1 Simplifying y = -1
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