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Simplifying 2y + -4(y + 1) = -1(7y + 4) + 4 Reorder the terms: 2y + -4(1 + y) = -1(7y + 4) + 4 2y + (1 * -4 + y * -4) = -1(7y + 4) + 4 2y + (-4 + -4y) = -1(7y + 4) + 4 Reorder the terms: -4 + 2y + -4y = -1(7y + 4) + 4 Combine like terms: 2y + -4y = -2y -4 + -2y = -1(7y + 4) + 4 Reorder the terms: -4 + -2y = -1(4 + 7y) + 4 -4 + -2y = (4 * -1 + 7y * -1) + 4 -4 + -2y = (-4 + -7y) + 4 Reorder the terms: -4 + -2y = -4 + 4 + -7y Combine like terms: -4 + 4 = 0 -4 + -2y = 0 + -7y -4 + -2y = -7y Solving -4 + -2y = -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -4 + -2y + 7y = -7y + 7y Combine like terms: -2y + 7y = 5y -4 + 5y = -7y + 7y Combine like terms: -7y + 7y = 0 -4 + 5y = 0 Add '4' to each side of the equation. -4 + 4 + 5y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5y = 0 + 4 5y = 0 + 4 Combine like terms: 0 + 4 = 4 5y = 4 Divide each side by '5'. y = 0.8 Simplifying y = 0.8
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