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Simplifying -4y + 6 = -2(4y + 5) Reorder the terms: 6 + -4y = -2(4y + 5) Reorder the terms: 6 + -4y = -2(5 + 4y) 6 + -4y = (5 * -2 + 4y * -2) 6 + -4y = (-10 + -8y) Solving 6 + -4y = -10 + -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. 6 + -4y + 8y = -10 + -8y + 8y Combine like terms: -4y + 8y = 4y 6 + 4y = -10 + -8y + 8y Combine like terms: -8y + 8y = 0 6 + 4y = -10 + 0 6 + 4y = -10 Add '-6' to each side of the equation. 6 + -6 + 4y = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 4y = -10 + -6 4y = -10 + -6 Combine like terms: -10 + -6 = -16 4y = -16 Divide each side by '4'. y = -4 Simplifying y = -4
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