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Simplifying 2y2 + -8y + 16 = 2y2 + -16y + -32 Reorder the terms: 16 + -8y + 2y2 = 2y2 + -16y + -32 Reorder the terms: 16 + -8y + 2y2 = -32 + -16y + 2y2 Add '-2y2' to each side of the equation. 16 + -8y + 2y2 + -2y2 = -32 + -16y + 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 16 + -8y + 0 = -32 + -16y + 2y2 + -2y2 16 + -8y = -32 + -16y + 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 16 + -8y = -32 + -16y + 0 16 + -8y = -32 + -16y Solving 16 + -8y = -32 + -16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16y' to each side of the equation. 16 + -8y + 16y = -32 + -16y + 16y Combine like terms: -8y + 16y = 8y 16 + 8y = -32 + -16y + 16y Combine like terms: -16y + 16y = 0 16 + 8y = -32 + 0 16 + 8y = -32 Add '-16' to each side of the equation. 16 + -16 + 8y = -32 + -16 Combine like terms: 16 + -16 = 0 0 + 8y = -32 + -16 8y = -32 + -16 Combine like terms: -32 + -16 = -48 8y = -48 Divide each side by '8'. y = -6 Simplifying y = -6
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