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Simplifying -6(8(y + -7) + 9y) + -7(5(7(4z + 3)) + -14) = d Reorder the terms: -6(8(-7 + y) + 9y) + -7(5(7(4z + 3)) + -14) = d -6((-7 * 8 + y * 8) + 9y) + -7(5(7(4z + 3)) + -14) = d -6((-56 + 8y) + 9y) + -7(5(7(4z + 3)) + -14) = d Combine like terms: 8y + 9y = 17y -6(-56 + 17y) + -7(5(7(4z + 3)) + -14) = d (-56 * -6 + 17y * -6) + -7(5(7(4z + 3)) + -14) = d (336 + -102y) + -7(5(7(4z + 3)) + -14) = d Reorder the terms: 336 + -102y + -7(5(7(3 + 4z)) + -14) = d 336 + -102y + -7(5((3 * 7 + 4z * 7)) + -14) = d 336 + -102y + -7(5((21 + 28z)) + -14) = d 336 + -102y + -7((21 * 5 + 28z * 5) + -14) = d 336 + -102y + -7((105 + 140z) + -14) = d Reorder the terms: 336 + -102y + -7(105 + -14 + 140z) = d Combine like terms: 105 + -14 = 91 336 + -102y + -7(91 + 140z) = d 336 + -102y + (91 * -7 + 140z * -7) = d 336 + -102y + (-637 + -980z) = d Reorder the terms: 336 + -637 + -102y + -980z = d Combine like terms: 336 + -637 = -301 -301 + -102y + -980z = d Solving -301 + -102y + -980z = d Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '301' to each side of the equation. -301 + -102y + 301 + -980z = 301 + d Reorder the terms: -301 + 301 + -102y + -980z = 301 + d Combine like terms: -301 + 301 = 0 0 + -102y + -980z = 301 + d -102y + -980z = 301 + d Add '980z' to each side of the equation. -102y + -980z + 980z = 301 + d + 980z Combine like terms: -980z + 980z = 0 -102y + 0 = 301 + d + 980z -102y = 301 + d + 980z Divide each side by '-102'. y = -2.950980392 + -0.009803921569d + -9.607843137z Simplifying y = -2.950980392 + -0.009803921569d + -9.607843137z
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