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Simplifying y + 0.5y + -0.9 = 3.8(y + 4) Reorder the terms: -0.9 + y + 0.5y = 3.8(y + 4) Combine like terms: y + 0.5y = 1.5y -0.9 + 1.5y = 3.8(y + 4) Reorder the terms: -0.9 + 1.5y = 3.8(4 + y) -0.9 + 1.5y = (4 * 3.8 + y * 3.8) -0.9 + 1.5y = (15.2 + 3.8y) Solving -0.9 + 1.5y = 15.2 + 3.8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3.8y' to each side of the equation. -0.9 + 1.5y + -3.8y = 15.2 + 3.8y + -3.8y Combine like terms: 1.5y + -3.8y = -2.3y -0.9 + -2.3y = 15.2 + 3.8y + -3.8y Combine like terms: 3.8y + -3.8y = 0.0 -0.9 + -2.3y = 15.2 + 0.0 -0.9 + -2.3y = 15.2 Add '0.9' to each side of the equation. -0.9 + 0.9 + -2.3y = 15.2 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + -2.3y = 15.2 + 0.9 -2.3y = 15.2 + 0.9 Combine like terms: 15.2 + 0.9 = 16.1 -2.3y = 16.1 Divide each side by '-2.3'. y = -7 Simplifying y = -7
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