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Simplifying 4(y + 5) + -8 = 2(y + -8) Reorder the terms: 4(5 + y) + -8 = 2(y + -8) (5 * 4 + y * 4) + -8 = 2(y + -8) (20 + 4y) + -8 = 2(y + -8) Reorder the terms: 20 + -8 + 4y = 2(y + -8) Combine like terms: 20 + -8 = 12 12 + 4y = 2(y + -8) Reorder the terms: 12 + 4y = 2(-8 + y) 12 + 4y = (-8 * 2 + y * 2) 12 + 4y = (-16 + 2y) Solving 12 + 4y = -16 + 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. 12 + 4y + -2y = -16 + 2y + -2y Combine like terms: 4y + -2y = 2y 12 + 2y = -16 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + 2y = -16 + 0 12 + 2y = -16 Add '-12' to each side of the equation. 12 + -12 + 2y = -16 + -12 Combine like terms: 12 + -12 = 0 0 + 2y = -16 + -12 2y = -16 + -12 Combine like terms: -16 + -12 = -28 2y = -28 Divide each side by '2'. y = -14 Simplifying y = -14
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