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Simplifying 2y + 3 = 5(0.2 + 5) + -1(22 + -1y) Reorder the terms: 3 + 2y = 5(0.2 + 5) + -1(22 + -1y) Combine like terms: 0.2 + 5 = 5.2 3 + 2y = 5(5.2) + -1(22 + -1y) Multiply 5 * 5.2 3 + 2y = 26 + -1(22 + -1y) 3 + 2y = 26 + (22 * -1 + -1y * -1) 3 + 2y = 26 + (-22 + 1y) Combine like terms: 26 + -22 = 4 3 + 2y = 4 + 1y Solving 3 + 2y = 4 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 3 + 2y + -1y = 4 + 1y + -1y Combine like terms: 2y + -1y = 1y 3 + 1y = 4 + 1y + -1y Combine like terms: 1y + -1y = 0 3 + 1y = 4 + 0 3 + 1y = 4 Add '-3' to each side of the equation. 3 + -3 + 1y = 4 + -3 Combine like terms: 3 + -3 = 0 0 + 1y = 4 + -3 1y = 4 + -3 Combine like terms: 4 + -3 = 1 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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