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Simplifying -38 + 16y + 6 = 6(3y + -2) + -8 Reorder the terms: -38 + 6 + 16y = 6(3y + -2) + -8 Combine like terms: -38 + 6 = -32 -32 + 16y = 6(3y + -2) + -8 Reorder the terms: -32 + 16y = 6(-2 + 3y) + -8 -32 + 16y = (-2 * 6 + 3y * 6) + -8 -32 + 16y = (-12 + 18y) + -8 Reorder the terms: -32 + 16y = -12 + -8 + 18y Combine like terms: -12 + -8 = -20 -32 + 16y = -20 + 18y Solving -32 + 16y = -20 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -32 + 16y + -18y = -20 + 18y + -18y Combine like terms: 16y + -18y = -2y -32 + -2y = -20 + 18y + -18y Combine like terms: 18y + -18y = 0 -32 + -2y = -20 + 0 -32 + -2y = -20 Add '32' to each side of the equation. -32 + 32 + -2y = -20 + 32 Combine like terms: -32 + 32 = 0 0 + -2y = -20 + 32 -2y = -20 + 32 Combine like terms: -20 + 32 = 12 -2y = 12 Divide each side by '-2'. y = -6 Simplifying y = -6
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