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Simplifying 7 = 7(y + 3) + -5y Reorder the terms: 7 = 7(3 + y) + -5y 7 = (3 * 7 + y * 7) + -5y 7 = (21 + 7y) + -5y Combine like terms: 7y + -5y = 2y 7 = 21 + 2y Solving 7 = 21 + 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 + -2y = 21 + 2y + -2y Combine like terms: 2y + -2y = 0 7 + -2y = 21 + 0 7 + -2y = 21 Add '-7' to each side of the equation. 7 + -7 + -2y = 21 + -7 Combine like terms: 7 + -7 = 0 0 + -2y = 21 + -7 -2y = 21 + -7 Combine like terms: 21 + -7 = 14 -2y = 14 Divide each side by '-2'. y = -7 Simplifying y = -7
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