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Simplifying -32 + -19y + 19 = -29y + 31 + 6y Reorder the terms: -32 + 19 + -19y = -29y + 31 + 6y Combine like terms: -32 + 19 = -13 -13 + -19y = -29y + 31 + 6y Reorder the terms: -13 + -19y = 31 + -29y + 6y Combine like terms: -29y + 6y = -23y -13 + -19y = 31 + -23y Solving -13 + -19y = 31 + -23y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '23y' to each side of the equation. -13 + -19y + 23y = 31 + -23y + 23y Combine like terms: -19y + 23y = 4y -13 + 4y = 31 + -23y + 23y Combine like terms: -23y + 23y = 0 -13 + 4y = 31 + 0 -13 + 4y = 31 Add '13' to each side of the equation. -13 + 13 + 4y = 31 + 13 Combine like terms: -13 + 13 = 0 0 + 4y = 31 + 13 4y = 31 + 13 Combine like terms: 31 + 13 = 44 4y = 44 Divide each side by '4'. y = 11 Simplifying y = 11
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