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Simplifying -4y + 2 = -2(4y + 15) Reorder the terms: 2 + -4y = -2(4y + 15) Reorder the terms: 2 + -4y = -2(15 + 4y) 2 + -4y = (15 * -2 + 4y * -2) 2 + -4y = (-30 + -8y) Solving 2 + -4y = -30 + -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. 2 + -4y + 8y = -30 + -8y + 8y Combine like terms: -4y + 8y = 4y 2 + 4y = -30 + -8y + 8y Combine like terms: -8y + 8y = 0 2 + 4y = -30 + 0 2 + 4y = -30 Add '-2' to each side of the equation. 2 + -2 + 4y = -30 + -2 Combine like terms: 2 + -2 = 0 0 + 4y = -30 + -2 4y = -30 + -2 Combine like terms: -30 + -2 = -32 4y = -32 Divide each side by '4'. y = -8 Simplifying y = -8
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