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Simplifying 94 + -117 = -6(-6y) + -19(2y) + y Combine like terms: 94 + -117 = -23 -23 = -6(-6y) + -19(2y) + y Remove parenthesis around (-6y) -23 = -6 * -6y + -19(2y) + y Multiply -6 * -6 -23 = 36y + -19(2y) + y Remove parenthesis around (2y) -23 = 36y + -19 * 2y + y Multiply -19 * 2 -23 = 36y + -38y + y Combine like terms: 36y + -38y = -2y -23 = -2y + y Combine like terms: -2y + y = -1y -23 = -1y Solving -23 = -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. -23 + y = -1y + y Combine like terms: -1y + y = 0 -23 + y = 0 Add '23' to each side of the equation. -23 + 23 + y = 0 + 23 Combine like terms: -23 + 23 = 0 0 + y = 0 + 23 y = 0 + 23 Combine like terms: 0 + 23 = 23 y = 23 Simplifying y = 23
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