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Simplifying 5[y + -2] + -10 = 4[4y + -2] + -3 Reorder the terms: 5[-2 + y] + -10 = 4[4y + -2] + -3 [-2 * 5 + y * 5] + -10 = 4[4y + -2] + -3 [-10 + 5y] + -10 = 4[4y + -2] + -3 Reorder the terms: -10 + -10 + 5y = 4[4y + -2] + -3 Combine like terms: -10 + -10 = -20 -20 + 5y = 4[4y + -2] + -3 Reorder the terms: -20 + 5y = 4[-2 + 4y] + -3 -20 + 5y = [-2 * 4 + 4y * 4] + -3 -20 + 5y = [-8 + 16y] + -3 Reorder the terms: -20 + 5y = -8 + -3 + 16y Combine like terms: -8 + -3 = -11 -20 + 5y = -11 + 16y Solving -20 + 5y = -11 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -20 + 5y + -16y = -11 + 16y + -16y Combine like terms: 5y + -16y = -11y -20 + -11y = -11 + 16y + -16y Combine like terms: 16y + -16y = 0 -20 + -11y = -11 + 0 -20 + -11y = -11 Add '20' to each side of the equation. -20 + 20 + -11y = -11 + 20 Combine like terms: -20 + 20 = 0 0 + -11y = -11 + 20 -11y = -11 + 20 Combine like terms: -11 + 20 = 9 -11y = 9 Divide each side by '-11'. y = -0.8181818182 Simplifying y = -0.8181818182
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