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Simplifying 5y + -2 = 7(y + 2) Reorder the terms: -2 + 5y = 7(y + 2) Reorder the terms: -2 + 5y = 7(2 + y) -2 + 5y = (2 * 7 + y * 7) -2 + 5y = (14 + 7y) Solving -2 + 5y = 14 + 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 + 5y + -7y = 14 + 7y + -7y Combine like terms: 5y + -7y = -2y -2 + -2y = 14 + 7y + -7y Combine like terms: 7y + -7y = 0 -2 + -2y = 14 + 0 -2 + -2y = 14 Add '2' to each side of the equation. -2 + 2 + -2y = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -2y = 14 + 2 -2y = 14 + 2 Combine like terms: 14 + 2 = 16 -2y = 16 Divide each side by '-2'. y = -8 Simplifying y = -8
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