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Simplifying 16.2 + -1(2y + 1) = y + 0.2 Reorder the terms: 16.2 + -1(1 + 2y) = y + 0.2 16.2 + (1 * -1 + 2y * -1) = y + 0.2 16.2 + (-1 + -2y) = y + 0.2 Combine like terms: 16.2 + -1 = 15.2 15.2 + -2y = y + 0.2 Reorder the terms: 15.2 + -2y = 0.2 + y Solving 15.2 + -2y = 0.2 + y 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. 15.2 + -2y + -1y = 0.2 + y + -1y Combine like terms: -2y + -1y = -3y 15.2 + -3y = 0.2 + y + -1y Combine like terms: y + -1y = 0 15.2 + -3y = 0.2 + 0 15.2 + -3y = 0.2 Add '-15.2' to each side of the equation. 15.2 + -15.2 + -3y = 0.2 + -15.2 Combine like terms: 15.2 + -15.2 = 0.0 0.0 + -3y = 0.2 + -15.2 -3y = 0.2 + -15.2 Combine like terms: 0.2 + -15.2 = -15 -3y = -15 Divide each side by '-3'. y = 5 Simplifying y = 5
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