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Simplifying -71 + 10 + 9 = 4(4y + -3) + -2 Combine like terms: -71 + 10 = -61 -61 + 9 = 4(4y + -3) + -2 Combine like terms: -61 + 9 = -52 -52 = 4(4y + -3) + -2 Reorder the terms: -52 = 4(-3 + 4y) + -2 -52 = (-3 * 4 + 4y * 4) + -2 -52 = (-12 + 16y) + -2 Reorder the terms: -52 = -12 + -2 + 16y Combine like terms: -12 + -2 = -14 -52 = -14 + 16y Solving -52 = -14 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -52 + -16y = -14 + 16y + -16y Combine like terms: 16y + -16y = 0 -52 + -16y = -14 + 0 -52 + -16y = -14 Add '52' to each side of the equation. -52 + 52 + -16y = -14 + 52 Combine like terms: -52 + 52 = 0 0 + -16y = -14 + 52 -16y = -14 + 52 Combine like terms: -14 + 52 = 38 -16y = 38 Divide each side by '-16'. y = -2.375 Simplifying y = -2.375
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