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Simplifying 2.8y + -2.7 = 3.4 + 2(y + -1) Reorder the terms: -2.7 + 2.8y = 3.4 + 2(y + -1) Reorder the terms: -2.7 + 2.8y = 3.4 + 2(-1 + y) -2.7 + 2.8y = 3.4 + (-1 * 2 + y * 2) -2.7 + 2.8y = 3.4 + (-2 + 2y) Combine like terms: 3.4 + -2 = 1.4 -2.7 + 2.8y = 1.4 + 2y Solving -2.7 + 2.8y = 1.4 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -2.7 + 2.8y + -2y = 1.4 + 2y + -2y Combine like terms: 2.8y + -2y = 0.8y -2.7 + 0.8y = 1.4 + 2y + -2y Combine like terms: 2y + -2y = 0 -2.7 + 0.8y = 1.4 + 0 -2.7 + 0.8y = 1.4 Add '2.7' to each side of the equation. -2.7 + 2.7 + 0.8y = 1.4 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + 0.8y = 1.4 + 2.7 0.8y = 1.4 + 2.7 Combine like terms: 1.4 + 2.7 = 4.1 0.8y = 4.1 Divide each side by '0.8'. y = 5.125 Simplifying y = 5.125
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