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Simplifying -2.7(y + -0.5) = 2.3(y + 1) Reorder the terms: -2.7(-0.5 + y) = 2.3(y + 1) (-0.5 * -2.7 + y * -2.7) = 2.3(y + 1) (1.35 + -2.7y) = 2.3(y + 1) Reorder the terms: 1.35 + -2.7y = 2.3(1 + y) 1.35 + -2.7y = (1 * 2.3 + y * 2.3) 1.35 + -2.7y = (2.3 + 2.3y) Solving 1.35 + -2.7y = 2.3 + 2.3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.3y' to each side of the equation. 1.35 + -2.7y + -2.3y = 2.3 + 2.3y + -2.3y Combine like terms: -2.7y + -2.3y = -5y 1.35 + -5y = 2.3 + 2.3y + -2.3y Combine like terms: 2.3y + -2.3y = 0.0 1.35 + -5y = 2.3 + 0.0 1.35 + -5y = 2.3 Add '-1.35' to each side of the equation. 1.35 + -1.35 + -5y = 2.3 + -1.35 Combine like terms: 1.35 + -1.35 = 0.00 0.00 + -5y = 2.3 + -1.35 -5y = 2.3 + -1.35 Combine like terms: 2.3 + -1.35 = 0.95 -5y = 0.95 Divide each side by '-5'. y = -0.19 Simplifying y = -0.19
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