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Simplifying 7y + 2 = 2(y + -4) Reorder the terms: 2 + 7y = 2(y + -4) Reorder the terms: 2 + 7y = 2(-4 + y) 2 + 7y = (-4 * 2 + y * 2) 2 + 7y = (-8 + 2y) Solving 2 + 7y = -8 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 2 + 7y + -2y = -8 + 2y + -2y Combine like terms: 7y + -2y = 5y 2 + 5y = -8 + 2y + -2y Combine like terms: 2y + -2y = 0 2 + 5y = -8 + 0 2 + 5y = -8 Add '-2' to each side of the equation. 2 + -2 + 5y = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 5y = -8 + -2 5y = -8 + -2 Combine like terms: -8 + -2 = -10 5y = -10 Divide each side by '5'. y = -2 Simplifying y = -2
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