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Simplifying -2y + -7(8y + -9) = -2 + 5(7 + -1y) Reorder the terms: -2y + -7(-9 + 8y) = -2 + 5(7 + -1y) -2y + (-9 * -7 + 8y * -7) = -2 + 5(7 + -1y) -2y + (63 + -56y) = -2 + 5(7 + -1y) Reorder the terms: 63 + -2y + -56y = -2 + 5(7 + -1y) Combine like terms: -2y + -56y = -58y 63 + -58y = -2 + 5(7 + -1y) 63 + -58y = -2 + (7 * 5 + -1y * 5) 63 + -58y = -2 + (35 + -5y) Combine like terms: -2 + 35 = 33 63 + -58y = 33 + -5y Solving 63 + -58y = 33 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 63 + -58y + 5y = 33 + -5y + 5y Combine like terms: -58y + 5y = -53y 63 + -53y = 33 + -5y + 5y Combine like terms: -5y + 5y = 0 63 + -53y = 33 + 0 63 + -53y = 33 Add '-63' to each side of the equation. 63 + -63 + -53y = 33 + -63 Combine like terms: 63 + -63 = 0 0 + -53y = 33 + -63 -53y = 33 + -63 Combine like terms: 33 + -63 = -30 -53y = -30 Divide each side by '-53'. y = 0.5660377358 Simplifying y = 0.5660377358
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