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Simplifying 4.2y + -5 = 4 + 2(2.3y + 4) Reorder the terms: -5 + 4.2y = 4 + 2(2.3y + 4) Reorder the terms: -5 + 4.2y = 4 + 2(4 + 2.3y) -5 + 4.2y = 4 + (4 * 2 + 2.3y * 2) -5 + 4.2y = 4 + (8 + 4.6y) Combine like terms: 4 + 8 = 12 -5 + 4.2y = 12 + 4.6y Solving -5 + 4.2y = 12 + 4.6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4.6y' to each side of the equation. -5 + 4.2y + -4.6y = 12 + 4.6y + -4.6y Combine like terms: 4.2y + -4.6y = -0.4y -5 + -0.4y = 12 + 4.6y + -4.6y Combine like terms: 4.6y + -4.6y = 0.0 -5 + -0.4y = 12 + 0.0 -5 + -0.4y = 12 Add '5' to each side of the equation. -5 + 5 + -0.4y = 12 + 5 Combine like terms: -5 + 5 = 0 0 + -0.4y = 12 + 5 -0.4y = 12 + 5 Combine like terms: 12 + 5 = 17 -0.4y = 17 Divide each side by '-0.4'. y = -42.5 Simplifying y = -42.5
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