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Simplifying 84 + -116 = -6(-4y) + -13(2y) + y Combine like terms: 84 + -116 = -32 -32 = -6(-4y) + -13(2y) + y Remove parenthesis around (-4y) -32 = -6 * -4y + -13(2y) + y Multiply -6 * -4 -32 = 24y + -13(2y) + y Remove parenthesis around (2y) -32 = 24y + -13 * 2y + y Multiply -13 * 2 -32 = 24y + -26y + y Combine like terms: 24y + -26y = -2y -32 = -2y + y Combine like terms: -2y + y = -1y -32 = -1y Solving -32 = -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. -32 + y = -1y + y Combine like terms: -1y + y = 0 -32 + y = 0 Add '32' to each side of the equation. -32 + 32 + y = 0 + 32 Combine like terms: -32 + 32 = 0 0 + y = 0 + 32 y = 0 + 32 Combine like terms: 0 + 32 = 32 y = 32 Simplifying y = 32
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