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Simplifying 82 + -115 = -6(-6y) + -19(2y) + y Combine like terms: 82 + -115 = -33 -33 = -6(-6y) + -19(2y) + y Remove parenthesis around (-6y) -33 = -6 * -6y + -19(2y) + y Multiply -6 * -6 -33 = 36y + -19(2y) + y Remove parenthesis around (2y) -33 = 36y + -19 * 2y + y Multiply -19 * 2 -33 = 36y + -38y + y Combine like terms: 36y + -38y = -2y -33 = -2y + y Combine like terms: -2y + y = -1y -33 = -1y Solving -33 = -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -33 + y = -1y + y Combine like terms: -1y + y = 0 -33 + y = 0 Add '33' to each side of the equation. -33 + 33 + y = 0 + 33 Combine like terms: -33 + 33 = 0 0 + y = 0 + 33 y = 0 + 33 Combine like terms: 0 + 33 = 33 y = 33 Simplifying y = 33
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