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Simplifying 5y + -7 = 2(y + 1) Reorder the terms: -7 + 5y = 2(y + 1) Reorder the terms: -7 + 5y = 2(1 + y) -7 + 5y = (1 * 2 + y * 2) -7 + 5y = (2 + 2y) Solving -7 + 5y = 2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -7 + 5y + -2y = 2 + 2y + -2y Combine like terms: 5y + -2y = 3y -7 + 3y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 -7 + 3y = 2 + 0 -7 + 3y = 2 Add '7' to each side of the equation. -7 + 7 + 3y = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 3y = 2 + 7 3y = 2 + 7 Combine like terms: 2 + 7 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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