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Simplifying 2y + -5(-11y + 20) = 18y + 1 + 16 Reorder the terms: 2y + -5(20 + -11y) = 18y + 1 + 16 2y + (20 * -5 + -11y * -5) = 18y + 1 + 16 2y + (-100 + 55y) = 18y + 1 + 16 Reorder the terms: -100 + 2y + 55y = 18y + 1 + 16 Combine like terms: 2y + 55y = 57y -100 + 57y = 18y + 1 + 16 Reorder the terms: -100 + 57y = 1 + 16 + 18y Combine like terms: 1 + 16 = 17 -100 + 57y = 17 + 18y Solving -100 + 57y = 17 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -100 + 57y + -18y = 17 + 18y + -18y Combine like terms: 57y + -18y = 39y -100 + 39y = 17 + 18y + -18y Combine like terms: 18y + -18y = 0 -100 + 39y = 17 + 0 -100 + 39y = 17 Add '100' to each side of the equation. -100 + 100 + 39y = 17 + 100 Combine like terms: -100 + 100 = 0 0 + 39y = 17 + 100 39y = 17 + 100 Combine like terms: 17 + 100 = 117 39y = 117 Divide each side by '39'. y = 3 Simplifying y = 3
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