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Simplifying -4y + 8 = 2(y + -2) + -2(-16 + 8y) Reorder the terms: 8 + -4y = 2(y + -2) + -2(-16 + 8y) Reorder the terms: 8 + -4y = 2(-2 + y) + -2(-16 + 8y) 8 + -4y = (-2 * 2 + y * 2) + -2(-16 + 8y) 8 + -4y = (-4 + 2y) + -2(-16 + 8y) 8 + -4y = -4 + 2y + (-16 * -2 + 8y * -2) 8 + -4y = -4 + 2y + (32 + -16y) Reorder the terms: 8 + -4y = -4 + 32 + 2y + -16y Combine like terms: -4 + 32 = 28 8 + -4y = 28 + 2y + -16y Combine like terms: 2y + -16y = -14y 8 + -4y = 28 + -14y Solving 8 + -4y = 28 + -14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14y' to each side of the equation. 8 + -4y + 14y = 28 + -14y + 14y Combine like terms: -4y + 14y = 10y 8 + 10y = 28 + -14y + 14y Combine like terms: -14y + 14y = 0 8 + 10y = 28 + 0 8 + 10y = 28 Add '-8' to each side of the equation. 8 + -8 + 10y = 28 + -8 Combine like terms: 8 + -8 = 0 0 + 10y = 28 + -8 10y = 28 + -8 Combine like terms: 28 + -8 = 20 10y = 20 Divide each side by '10'. y = 2 Simplifying y = 2
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