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Simplifying 7(y + 5) + -3(y + 4) = 19 Reorder the terms: 7(5 + y) + -3(y + 4) = 19 (5 * 7 + y * 7) + -3(y + 4) = 19 (35 + 7y) + -3(y + 4) = 19 Reorder the terms: 35 + 7y + -3(4 + y) = 19 35 + 7y + (4 * -3 + y * -3) = 19 35 + 7y + (-12 + -3y) = 19 Reorder the terms: 35 + -12 + 7y + -3y = 19 Combine like terms: 35 + -12 = 23 23 + 7y + -3y = 19 Combine like terms: 7y + -3y = 4y 23 + 4y = 19 Solving 23 + 4y = 19 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 4y = 19 + -23 Combine like terms: 23 + -23 = 0 0 + 4y = 19 + -23 4y = 19 + -23 Combine like terms: 19 + -23 = -4 4y = -4 Divide each side by '4'. y = -1 Simplifying y = -1
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