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Simplifying 5(y + -4) + y = 4(y + -2) + -8 Reorder the terms: 5(-4 + y) + y = 4(y + -2) + -8 (-4 * 5 + y * 5) + y = 4(y + -2) + -8 (-20 + 5y) + y = 4(y + -2) + -8 Combine like terms: 5y + y = 6y -20 + 6y = 4(y + -2) + -8 Reorder the terms: -20 + 6y = 4(-2 + y) + -8 -20 + 6y = (-2 * 4 + y * 4) + -8 -20 + 6y = (-8 + 4y) + -8 Reorder the terms: -20 + 6y = -8 + -8 + 4y Combine like terms: -8 + -8 = -16 -20 + 6y = -16 + 4y Solving -20 + 6y = -16 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -20 + 6y + -4y = -16 + 4y + -4y Combine like terms: 6y + -4y = 2y -20 + 2y = -16 + 4y + -4y Combine like terms: 4y + -4y = 0 -20 + 2y = -16 + 0 -20 + 2y = -16 Add '20' to each side of the equation. -20 + 20 + 2y = -16 + 20 Combine like terms: -20 + 20 = 0 0 + 2y = -16 + 20 2y = -16 + 20 Combine like terms: -16 + 20 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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