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Simplifying 3y + 2.1 = 5y + y + -18.9 Reorder the terms: 2.1 + 3y = 5y + y + -18.9 Reorder the terms: 2.1 + 3y = -18.9 + 5y + y Combine like terms: 5y + y = 6y 2.1 + 3y = -18.9 + 6y Solving 2.1 + 3y = -18.9 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 2.1 + 3y + -6y = -18.9 + 6y + -6y Combine like terms: 3y + -6y = -3y 2.1 + -3y = -18.9 + 6y + -6y Combine like terms: 6y + -6y = 0 2.1 + -3y = -18.9 + 0 2.1 + -3y = -18.9 Add '-2.1' to each side of the equation. 2.1 + -2.1 + -3y = -18.9 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + -3y = -18.9 + -2.1 -3y = -18.9 + -2.1 Combine like terms: -18.9 + -2.1 = -21 -3y = -21 Divide each side by '-3'. y = 7 Simplifying y = 7
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