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Simplifying 2(y + -7) + 6y + 10 = 44 Reorder the terms: 2(-7 + y) + 6y + 10 = 44 (-7 * 2 + y * 2) + 6y + 10 = 44 (-14 + 2y) + 6y + 10 = 44 Reorder the terms: -14 + 10 + 2y + 6y = 44 Combine like terms: -14 + 10 = -4 -4 + 2y + 6y = 44 Combine like terms: 2y + 6y = 8y -4 + 8y = 44 Solving -4 + 8y = 44 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 8y = 44 + 4 Combine like terms: -4 + 4 = 0 0 + 8y = 44 + 4 8y = 44 + 4 Combine like terms: 44 + 4 = 48 8y = 48 Divide each side by '8'. y = 6 Simplifying y = 6
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