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Simplifying 5y + -1[2(y + 1)] = 7y Reorder the terms: 5y + -1[2(1 + y)] = 7y 5y + -1[(1 * 2 + y * 2)] = 7y 5y + -1[(2 + 2y)] = 7y 5y + [2 * -1 + 2y * -1] = 7y 5y + [-2 + -2y] = 7y Reorder the terms: -2 + 5y + -2y = 7y Combine like terms: 5y + -2y = 3y -2 + 3y = 7y Solving -2 + 3y = 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. -2 + 3y + -7y = 7y + -7y Combine like terms: 3y + -7y = -4y -2 + -4y = 7y + -7y Combine like terms: 7y + -7y = 0 -2 + -4y = 0 Add '2' to each side of the equation. -2 + 2 + -4y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -4y = 0 + 2 -4y = 0 + 2 Combine like terms: 0 + 2 = 2 -4y = 2 Divide each side by '-4'. y = -0.5 Simplifying y = -0.5
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