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Simplifying 4y + 1y + 1 = 7(1y + -1) Reorder the terms: 1 + 4y + 1y = 7(1y + -1) Combine like terms: 4y + 1y = 5y 1 + 5y = 7(1y + -1) Reorder the terms: 1 + 5y = 7(-1 + 1y) 1 + 5y = (-1 * 7 + 1y * 7) 1 + 5y = (-7 + 7y) Solving 1 + 5y = -7 + 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. 1 + 5y + -7y = -7 + 7y + -7y Combine like terms: 5y + -7y = -2y 1 + -2y = -7 + 7y + -7y Combine like terms: 7y + -7y = 0 1 + -2y = -7 + 0 1 + -2y = -7 Add '-1' to each side of the equation. 1 + -1 + -2y = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = -7 + -1 -2y = -7 + -1 Combine like terms: -7 + -1 = -8 -2y = -8 Divide each side by '-2'. y = 4 Simplifying y = 4
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