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Simplifying 7y + 19 = 4(y + 1) Reorder the terms: 19 + 7y = 4(y + 1) Reorder the terms: 19 + 7y = 4(1 + y) 19 + 7y = (1 * 4 + y * 4) 19 + 7y = (4 + 4y) Solving 19 + 7y = 4 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 19 + 7y + -4y = 4 + 4y + -4y Combine like terms: 7y + -4y = 3y 19 + 3y = 4 + 4y + -4y Combine like terms: 4y + -4y = 0 19 + 3y = 4 + 0 19 + 3y = 4 Add '-19' to each side of the equation. 19 + -19 + 3y = 4 + -19 Combine like terms: 19 + -19 = 0 0 + 3y = 4 + -19 3y = 4 + -19 Combine like terms: 4 + -19 = -15 3y = -15 Divide each side by '3'. y = -5 Simplifying y = -5
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