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Simplifying 89 + -116 = -4(-4y) + -9(2y) + 7 Combine like terms: 89 + -116 = -27 -27 = -4(-4y) + -9(2y) + 7 Remove parenthesis around (-4y) -27 = -4 * -4y + -9(2y) + 7 Multiply -4 * -4 -27 = 16y + -9(2y) + 7 Remove parenthesis around (2y) -27 = 16y + -9 * 2y + 7 Multiply -9 * 2 -27 = 16y + -18y + 7 Reorder the terms: -27 = 7 + 16y + -18y Combine like terms: 16y + -18y = -2y -27 = 7 + -2y Solving -27 = 7 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -27 + 2y = 7 + -2y + 2y Combine like terms: -2y + 2y = 0 -27 + 2y = 7 + 0 -27 + 2y = 7 Add '27' to each side of the equation. -27 + 27 + 2y = 7 + 27 Combine like terms: -27 + 27 = 0 0 + 2y = 7 + 27 2y = 7 + 27 Combine like terms: 7 + 27 = 34 2y = 34 Divide each side by '2'. y = 17 Simplifying y = 17
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