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Simplifying -8y + 4 = -2(5y + 6) Reorder the terms: 4 + -8y = -2(5y + 6) Reorder the terms: 4 + -8y = -2(6 + 5y) 4 + -8y = (6 * -2 + 5y * -2) 4 + -8y = (-12 + -10y) Solving 4 + -8y = -12 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. 4 + -8y + 10y = -12 + -10y + 10y Combine like terms: -8y + 10y = 2y 4 + 2y = -12 + -10y + 10y Combine like terms: -10y + 10y = 0 4 + 2y = -12 + 0 4 + 2y = -12 Add '-4' to each side of the equation. 4 + -4 + 2y = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 2y = -12 + -4 2y = -12 + -4 Combine like terms: -12 + -4 = -16 2y = -16 Divide each side by '2'. y = -8 Simplifying y = -8
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