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Simplifying 38 = -2(4y + 2) + y Reorder the terms: 38 = -2(2 + 4y) + y 38 = (2 * -2 + 4y * -2) + y 38 = (-4 + -8y) + y Combine like terms: -8y + y = -7y 38 = -4 + -7y Solving 38 = -4 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 38 + 7y = -4 + -7y + 7y Combine like terms: -7y + 7y = 0 38 + 7y = -4 + 0 38 + 7y = -4 Add '-38' to each side of the equation. 38 + -38 + 7y = -4 + -38 Combine like terms: 38 + -38 = 0 0 + 7y = -4 + -38 7y = -4 + -38 Combine like terms: -4 + -38 = -42 7y = -42 Divide each side by '7'. y = -6 Simplifying y = -6
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