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Simplifying 5y + 2 = -4(2y + 4) Reorder the terms: 2 + 5y = -4(2y + 4) Reorder the terms: 2 + 5y = -4(4 + 2y) 2 + 5y = (4 * -4 + 2y * -4) 2 + 5y = (-16 + -8y) Solving 2 + 5y = -16 + -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 + 5y + 8y = -16 + -8y + 8y Combine like terms: 5y + 8y = 13y 2 + 13y = -16 + -8y + 8y Combine like terms: -8y + 8y = 0 2 + 13y = -16 + 0 2 + 13y = -16 Add '-2' to each side of the equation. 2 + -2 + 13y = -16 + -2 Combine like terms: 2 + -2 = 0 0 + 13y = -16 + -2 13y = -16 + -2 Combine like terms: -16 + -2 = -18 13y = -18 Divide each side by '13'. y = -1.384615385 Simplifying y = -1.384615385
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