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Simplifying 5.4y + 1 = 5[y + -3] Reorder the terms: 1 + 5.4y = 5[y + -3] Reorder the terms: 1 + 5.4y = 5[-3 + y] 1 + 5.4y = [-3 * 5 + y * 5] 1 + 5.4y = [-15 + 5y] Solving 1 + 5.4y = -15 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 1 + 5.4y + -5y = -15 + 5y + -5y Combine like terms: 5.4y + -5y = 0.4y 1 + 0.4y = -15 + 5y + -5y Combine like terms: 5y + -5y = 0 1 + 0.4y = -15 + 0 1 + 0.4y = -15 Add '-1' to each side of the equation. 1 + -1 + 0.4y = -15 + -1 Combine like terms: 1 + -1 = 0 0 + 0.4y = -15 + -1 0.4y = -15 + -1 Combine like terms: -15 + -1 = -16 0.4y = -16 Divide each side by '0.4'. y = -40 Simplifying y = -40
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