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Simplifying -4(5y + -2) + 5y = 3(y + 4) Reorder the terms: -4(-2 + 5y) + 5y = 3(y + 4) (-2 * -4 + 5y * -4) + 5y = 3(y + 4) (8 + -20y) + 5y = 3(y + 4) Combine like terms: -20y + 5y = -15y 8 + -15y = 3(y + 4) Reorder the terms: 8 + -15y = 3(4 + y) 8 + -15y = (4 * 3 + y * 3) 8 + -15y = (12 + 3y) Solving 8 + -15y = 12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 8 + -15y + -3y = 12 + 3y + -3y Combine like terms: -15y + -3y = -18y 8 + -18y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 8 + -18y = 12 + 0 8 + -18y = 12 Add '-8' to each side of the equation. 8 + -8 + -18y = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -18y = 12 + -8 -18y = 12 + -8 Combine like terms: 12 + -8 = 4 -18y = 4 Divide each side by '-18'. y = -0.2222222222 Simplifying y = -0.2222222222
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