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