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Simplifying -4y + -7(7y + -9) = 4 + -2(3 + -1y) Reorder the terms: -4y + -7(-9 + 7y) = 4 + -2(3 + -1y) -4y + (-9 * -7 + 7y * -7) = 4 + -2(3 + -1y) -4y + (63 + -49y) = 4 + -2(3 + -1y) Reorder the terms: 63 + -4y + -49y = 4 + -2(3 + -1y) Combine like terms: -4y + -49y = -53y 63 + -53y = 4 + -2(3 + -1y) 63 + -53y = 4 + (3 * -2 + -1y * -2) 63 + -53y = 4 + (-6 + 2y) Combine like terms: 4 + -6 = -2 63 + -53y = -2 + 2y Solving 63 + -53y = -2 + 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. 63 + -53y + -2y = -2 + 2y + -2y Combine like terms: -53y + -2y = -55y 63 + -55y = -2 + 2y + -2y Combine like terms: 2y + -2y = 0 63 + -55y = -2 + 0 63 + -55y = -2 Add '-63' to each side of the equation. 63 + -63 + -55y = -2 + -63 Combine like terms: 63 + -63 = 0 0 + -55y = -2 + -63 -55y = -2 + -63 Combine like terms: -2 + -63 = -65 -55y = -65 Divide each side by '-55'. y = 1.181818182 Simplifying y = 1.181818182
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