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Simplifying 4y + 37 = 7(1 + y) Reorder the terms: 37 + 4y = 7(1 + y) 37 + 4y = (1 * 7 + y * 7) 37 + 4y = (7 + 7y) Solving 37 + 4y = 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. 37 + 4y + -7y = 7 + 7y + -7y Combine like terms: 4y + -7y = -3y 37 + -3y = 7 + 7y + -7y Combine like terms: 7y + -7y = 0 37 + -3y = 7 + 0 37 + -3y = 7 Add '-37' to each side of the equation. 37 + -37 + -3y = 7 + -37 Combine like terms: 37 + -37 = 0 0 + -3y = 7 + -37 -3y = 7 + -37 Combine like terms: 7 + -37 = -30 -3y = -30 Divide each side by '-3'. y = 10 Simplifying y = 10
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